y=-2x+4 y=6x+12 substitution method

Answers

Answer 1

Answer:

x = - 1, y = 6

Step-by-step explanation:

Given the 2 equations

y = - 2x + 4 → (1)

y = 6x + 12 → (2)

Substitute y = 6x + 12 into (1)

6x + 12 = - 2x + 4 ( add 2x to both sides )

8x + 12 = 4 ( subtract 12 from both sides )

8x = - 8 ( divide both sides by 8 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (2)

y = 6(- 1) + 12 = - 6 + 12 = 6

Solution is (- 1, 6 )


Related Questions

Pls help with question 7

Answers

Answer:

please check the image for the answer

Michael bought a new sweater on sale for $30. The sweater originally cost $80.
What is the percent of change of the sweater?

Answers

63% off or at least roughly that hope this helps

9g + 14g + 4 = –19
plz help

Answers

Answer:

g=-1

Step-by-step explanation

Answer:

g=-1

HAVE A nice day

3.
What is the additive inverse of the number 3?
C -3
0
3
6

Answers

Answer:

-3

Step-by-step explanation:

Answer: -3

Step-by-step explanation: The additive inverse tells us that if we

add a number and the opposite of that number, the result will be 0.

So in this problem, 3 + (-3) = 0.

What is the difference
between an ordered
pair and coordinates?

Answers

Answer:A coordinate system is a two-dimensional number line

Step-by-step explanation:

A coordinate system is a two-dimensional number line, for example, two perpendicular number lines or axes. An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x,y

The difference between an ordered pair and coordinates will be;

''Coordinates are used in geometry, and when there are two coordinates, they are ordered pairs when both component are of the same type.''

What is Coordinates?

A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Given that;

There are an ordered pair and coordinates.

Now,

The difference between an ordered pair and coordinates will be;

''Coordinates are used in geometry, and when there are two coordinates, they are ordered pairs when both component are of the same type.''

And, An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of

(a, b) and a coordinate system is a two-dimensional number line.

Thus, The difference between an ordered pair and coordinates will be;

''Coordinates are used in geometry, and when there are two coordinates, they are ordered pairs when both component are of the same type.''

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Which set below is the domain of {(2, -3), (-1,0), (0, 4), (-1, 5), (4, -2)}?
A. {-3,0,4,5,-2} B.{2, -1, 4} C.{-3, 4, 5, -2} D.{2, -1, 0, 4}

I don't need a fast answer, I need a thorough explanation, I am trying to advance in Math and I am learning on my own. I want to learn how to do this correctly. Thank you in advance, I Promise I will give brainliest if I am satisfied! (100 points just so you see you are loved (: )

Answers

Answer:

D

Step-by-step explanation:

We have the set:

[tex]\{(2, -3), (-1,0), (0, 4), (-1, 5), (4, -2)\}[/tex]

Remember that the domain for a set of values is simply the input values.

In other words, our domain will be all of our x-coordinates.

We can see that our x-coordinates are: 2, -1, 0, -1, and 4.

So, our domain is:

[tex]\{2, -1, 0, 4\}[/tex]

Note that we only write need to write the -1 once.

So, our answer is D.

And we're done!

Answer:

D

Step-by-step explanation:

there are 15 students on the debate team/ the team advisor randomly chooses 4 students to debate in the next competition. what is the probability that the team includes joseph, malena, carlos, and abby

Answers

Answer:he team advisor randomly chooses 4 students to debate in the next competition. How many different ways can a team that includes Joseph, Malena, Carlos, and Abby be chosen? ... If two angles are congruent, then they are vertical angles.

Step-by-step explanation:

Solve each equation by factoring.
When finding the solutions for `15k^2+k-4=-2`, what are the correct steps?

Answers

Answer:

k=1/3; k=-2/5

Step-by-step explanation:

[tex]15k^2+k-4=-2\\15k^2+k-2=0\\(3k-1)(5k+2)=0\\3k-1=0; 5k+2=0\\k=1/3; k=-2/5[/tex]

solve this equation by undoing in reverse order. x/3+5/2=5.5

Answers

x/3 + 5/2 = 5.5
x/3 + 5/2 = 55/10
2x/6 + 15/6 = 55/10
2x+15/6 = 55/10
2x + 15 = 55/10 x 6
2x + 15 = 33
2x = 18
x = 9

THIS IS MY LAST QUESTION SO CAN SOMEONE HELP
ME OUT

Answers

Answer:

Step-by-step explanation:

Hello, as this is reflected over the  y=o line, it does not change the value for x so this is (3,2)

and the reflection over y=0 line changes the y in -y

thanks

what is y when the equation is x^2 - 3xy -4y^2 =0

Answers

Answer:

y = 1/8 (5 sqrt(x^2) - 3 x) or y = 1/8 (-3 x - 5 sqrt(x^2))

Step-by-step explanation:

Solve for y:

-4 y^2 - 3 x y + x^2 = 0

Hint: | Multiply both sides by a term to make the coefficient of y^2 positive.

Multiply both sides by -1:

4 y^2 + 3 x y - x^2 = 0

Hint: | Using the quadratic formula, solve for y.

y = (-3 x ± 5 sqrt(x^2))/8:

Answer: y = 1/8 (5 sqrt(x^2) - 3 x) or y = 1/8 (-3 x - 5 sqrt(x^2))

Match each circular flower bed on the left to its circumference and its area on the right. Some answer options on the right will not be used.

Answers

Answer:

Bed A --- Third Option

Bed B --- Fifth Option

Step-by-step explanation:

Flower Bed A)

The formula for circumference is:

[tex]C=2\pi r[/tex]

The diameter of A is 10 feet. So, its radius is 5 feet.

Substitute 5 for r. So, the circumference of Bed A is:

[tex]C=2\pi (5)=10\pi\text{ feet}[/tex]

The formula for the area of a circle is:

[tex]A=\pi r^2[/tex]

Substitute 5 for r:

[tex]A=\pi (5)^2[/tex]

Square and simplify:

[tex]A=25\pi \text{ square feet}[/tex]

So, the circumference of Bed A is 10π feet and its area is 25π square feet.

Therefore, match Bed A to the third option.

Flower Bed B)

The radius of Bed B is 6 feet. Again, we can use the circumference and area formulas. Substitute 6 for r for circumference:

[tex]C=2\pi (6)[/tex]

Multiply:

[tex]C=12\pi\text{ feet}[/tex]

Substitute 6 for r for the area formula:

[tex]A=\pi(6)^2[/tex]

Square and simplify:

[tex]A=36\pi\text{ square feet}[/tex]

So, Bed B has a 12π feet circumference and a 36π square feet area.

Therefore, match Bed B to the fifth option.

And we're done!

Translate one less than twice a number

Answers

Answer:

2x-1

Step-by-step explanation:

1-2......................................

Natalie buys 3 harmonicas. Each harmonica costs $2.85. How much does Natalie spend?

Answers

Answer:

$8.55

Step-by-step explanation:

2.85*3 or 2.85+2.85+2.85


On Monday, Allie's bank account balance was -$29. On Tuesday, her account balance was less than It was
on Monday
Use absolute value to describe Allie's balance on Tuesday as a debt.
In this situation, |-$29 represents a debt of $||
On Tuesday, Allle had a debt of 2
than $29.

Answers

On Tuesday her account balance would be less then -24 that means her debt would be more

Does anyone understand this? If you do can you please instruct me on how to do it or solve it?

Answers

Answer:

22 rides happened in the hour.

Step-by-step explanation:

The way to solve this if by first dividing the 650 by the 30 then since the answer will be 21.6 that is basically like having 21 full rides then having one more ride a little over half full.

Convert these please

Answers

Answer:

22.18mL147.42kg---637.14 lbs15.22mL--104 oz.12 g45.44 lbs3.59 pt43,000 mg105 tsp2,271.25 mL18tsp4 pt244.71 lbs219.99 kgs3.79 L3.96 g2,608.16 g145.4 tbsp99.22 g4.38 g10.57 pts135.26 oz1.73 L

Determine the solution.
2x+y=4
4x-3y=7

Answers

Answer:

The answer is: (x , y) = (19/10 , 1/5)

Step-by-step explanation:

Solve the equation for y-

y = 4 - 2x

4x - 3y = 7

Substitute the given value of y into the equation-

4 x - 3 ( 4 - 2x ) = 7

Solve the equation for x-

x = 19/10

Substitute the given value of x into the equation y = 4 - 2x-

y= 4 - 2 * 19/10

Solve the equation for y-

y = 1/5

The possible solution of the system is the ordered pair ( x , y )-

( x , y ) = ( 19/10 , 1/5)

Check if the given ordered pair is the solution of the system of equations-

{2 * 19/10 + 1/5 =4

4 * 19/10 - 3*1/5 =7}

Simplify the equalities-

4 = 4

7 = 7

Since all equalities are proven true the ordered pair is the solution of the system-

( x , y) = (19/10, 1/5)

FINALLY haha the solution is: ( x , y ) = (19/10 , 1/5)

Hope this helps you!! :) <333

Evaluate f(t)=-2t2+ 1 for f(-3)

Answers

Answer:

f(-3)=-17

Step-by-step explanation:

Substitue -3 for t

-2(-3)^2 + 1

Simplify

-2(9) + 1

-18 + 1

Answer: -17

A function is defined as a relation between a set of inputs having one output each.

The value of the function f(t) = -2t² + 1 at t = -3 is -17.

The domain of the function is -17.

The range of the function is -3.

What is a function?

A function is defined as a relation between a set of inputs having one output each.

f(x) = x + 2

At x = 2,

f(2) = 2 + 2 = 4

Domain = 2

Range = 4

We have,

f(t) = -2t² + 1

We need to find for t = -3.

f (-3) = -2 ( -3 )² + 1

[ -3 x -3 = 9 ]

f (-3) = -2 x 9 + 1 = -18 + 1 = -17

Thus the value of the function f(t) = -2t² + 1 at t = -3 is -17.

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If f(x) = 8x + 1 and the graph of g is the graph f translated 2 units to right, which equation represents g?
A. g(x) = (6x + 1) + 2
B. g(x) = (6x + 1) - 2
C. g(x) = 8(x + 2) + 1
D. g(x) = 8(x - 2) + 1
Can someone please help?

Answers

The answer is D. g(x)= 8(x-2)+1

The equation of the graph after 2 units of the right translation will be g(x) = 8(x - 2) + 1. The correct option is d.

What is a function?

The expression that established the relationship between the dependent variable and independent variable is referred to as a function. In the function as the value of the independent variable varies the value of the dependent variable also varies.

Given function f(x) = 8x + 1 is translated by 2 units to the right on the graph.

The function will be changed as below,

f(x) = 8x + 1

After translation, the value of x will become x - 2.

f(x) = 8(x-2) + 1

Therefore, the equation of the graph after 2 units of the right translation will be g(x) = 8(x - 2) + 1. The correct option is d.

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Cranberry juice costs $6.30 per quart and apple juice costs $3.60 per quart. Terrence wants to know how many quarts q of cranberry juice he should mix with 4 quarts of apple juice to make cranberry-apple juice. He also wants to sell the juice at cost for $4.50 per quart. Which equation below represents the situation?

Answers

Answer:

$25.20 for the cranberry juice (see explanation)

Step-by-step explanation:

4 quarts of apple juice and 4 quarts of cranberry juice are the simplest amount I can come up with. Meaning: 4 quarts of cranberry juice being $25.20 mixed with the apple juice.

Why there really be people with no life deleting questions even though people are just trying to connect and stuff like bruh you have no life so you go around deleting things?! It makes me so annoyed like fr i hate those people. also watch one of them delete this

Answers

Answer:

ikr

Step-by-step explanation:

Answer:

lol SAME!! i hate it so much!! they deleted all of my stuff in one day and didn't even have a reason to!!! I got banned for 2 weeks :( i's irritating

Step-by-step explanation:

Which of the following points represents a number that is both rational and an integer?

Answers

Answer:

Where a and b are both integers. Example. The number 4 is an integer as well as a rational number. As it can ... Which of these rational numbers are integers?

Step-by-step explanation:

5. Find the 34th term in the arithmetic sequence 9, 6, 3,
A. 90
B. -90
C.-57
D. 108

Answers

Answer:

B. -90

Step-by-step explanation:

a1=9; d=-3

a34=9-3(33-1)=-90

True or False?
If, |al = |b|, then either a = b or a = - b

Answers

Answer:

true

Step-by-step explanation:

Is 5:2 the same as 2:5

Answers

Answer:

It is not the same

Step-by-step explanation:

Is 5/2 greater than 2/5? Is 5/2 bigger than 2/5? Is 5/2 larger than 2/5? These are all the same questions with one answer.

When comparing fractions such as 5/2 and 2/5, you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.        

  To get the answer, we first convert each fraction into decimal numbers. We do this by dividing the numerator by the denominator for each fraction as illustrated below: 5/2 = 2.5

2/5 = 0.4 Therefore, 5/2 is greater than 2/5 and the answer to the question "Is 5/2 greater than 2/5?" is yes.

Step-by-step

Its different because 5:2 and 2:5 (or 5/2 and 2/5) have different numerators and denominators.

Suppose Matthew Whitaker performs on a rectangular stage with an area of 1815 square feet. If the length of the stage is 5x and the width of the stage is 3x, what is the value of x?

Answers

x=121

3×5=15

1815÷15=121

x=121

Answer:

The correct answer is 11.

Step-by-step explanation:

55 x 33 = 1815

Can you help me with these angles please????

Answers

Answer:

11. ∠9 = 100°

12. ∠6 = 80°

13. ∠8 = 80°

14. ∠2 = 80°

15. ∠5 = 100°

16. ∠11 = 100°

Step-by-step explanation:

Answer:

11. 100°    12. 80°     13. 80°    14. 80°    15. 100°    16. 100°      

Step-by-step explanation:

We know a straight line is 180 degrees and that m∠7 is 100 degrees.

m∠9, m∠5 and m∠11 are 100 degrees

To find m∠6, m∠8, and m∠2 we subtract 100 from 180 and get 80 degrees.

If you fill in all the degrees of the angles, you will notice a zig-zag pattern. That helps when solving these kinds of problems

I hope this helped, please mark Brainliest, thank you!

solve for x
2/5 = x/90​

Answers

Answer: x = 36

.........................

Order the numbers from least to greatest, 19/2, 9.4, 80

Answers

Answer:

9.4, 19/2, 80

Step-by-step explanation:

Other Questions
First, practice your speech on your own. Consider practicing your speech for friends or family members. After that you must present the speech to your teachers or class. Keep the following instructions in mind when preparing for the speech:Be aware of the time limit of the presentation.Know and understand the material that is being delivered.Plan the delivery of every point in the speech.Create notecards to help you remember the important information.Also, consider the following practices when delivering a speech:Speak naturally, clearly, and loudly enough that everyone can hear you.Make eye contact with various people in the audience.Use hand gestures when you need to emphasize a point.Vary your tone and volume for emphasis.Stand straight but comfortably.Dress in a neat and presentable manner.Before delivering your speech to your chosen audience, practice delivering the speech in front of a mirror or a smaller audience such as close friends or family members. Then, you will deliver the speech to your chosen audience. You can also use an audio recording tool, to record your speech and submit an audio version of your speech to your teacher, if your teacher agrees. However, this is not mandatory. How did the colonial governor try to make Louisiana profitable? Check all that apply. He encouraged the growth of indigo. He prevented settlers from growing their own food. He tried to get farmers to plant tobacco. He supported illegal trade with American Indians and Spain. He required business owners to pay additional taxes. Which Spanish word means "worried?" grua preocupada fuera acerca Solve for the value of k. (k-2) (2k+8) The half-life of Zn-71 is 2.4 minutes. If one had 100.0 g at the beginning, how many grams would be left after 7.2 minutes has elapsed? Which statements correctly describe something that happened when foreign invaders conquered Egypt?Select all correct answers. The new rulers encouraged Egyptians to reject any foreign cultural ways.Foreign rulers adopted Egyptian religion.Foreign rulers took the title pharaoh.Foreign armies leveled the great pyramids and sphinxes. giving out brainliest to the corrrect answer I need help because im not sure if im supposed to square it [tex]2 \sqrt{x} = x - 3[/tex] HELP! Ev evaluate the square root of 16 plus the square root of 29, correct to two decimal places. 65 POINTS !!! HELP ME PLZZ!!The diagram shows the complete classification for the brown bear. The names of some of the taxa are missing.Which sequence correctly shows the names for the taxa labeled A through E, starting with A and ending with E?A.Kingdom, class, order, phylum, familyB.Family, kingdom, class, order, phylumC.Family, class, order, phylum, kingdomD.Kingdom, phylum, class, order, family Read this excerpt from "The Day the Gulls Went Crazy" by Susan E. Quinlan.Capturing and rebanding an adult gull is much more difficult than capturing a small flightless chick. Resourceful as always, Larry developed a special capture technique. He rigged up a tool using a rope noose, monofilament fishing line, and a fishing pole. Knowing the fight a two-and-a-half-pound adult gull might put up, he scared the bird off its nest and replaced its fragile eggs with dummy eggs. Next, he laid the noose around the nest and moved away. A trail of fishing line led from the noose to the fishing pole and reel in his hands. Crouching low, Larry waited for the return of the bird in need of rebanding. When the moment was right, he reeled in the line, tightening the noose around the gulls legs.What is the author's purpose in this paragraph?A. to describe what Larry does with the gulls' eggsB. to emphasize the materials that Larry usedC. to explain how Larry used his cleverness to capture gullsD. to highlight how defensive gulls are of their nestsplease answer soon i have a lot of tests to do thanks:) In the late 1800s, many unions did not allow women or African Americans to become members. TrueFalse What are some of the natural barriers to species movement/migration that isolate them and create habitat islands? Which sentence describes the climax of the tale?The husband encourages his wife to look at her reflection.The husband returns from his journey with presents for his wife.The mother tells her daughter to look in the mirror every morningand eveningThe mother decides to stop looking in the mirror and to appearhappy at all times.Plz answer quick PLZ I HAVE 10M TO GET THIS WITH 13 QUESTIONS Which of the following is the primary reason for using juries in trials involving serious crimes? A. It limits the effect of corruption from government officials. B. It limits government accountability for a judges sentencing. C. It prevents harsh punishments like the death penalty from being used too often. D. It allows for faster trials. What is the first step that should be performed to find the value of this expression?180 (30 + 15) 6 1 A. Divide 180 30. B. Add 30 + 15. C. Multiply 15 6. D. 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Select Yes if the group of words in italics is a noun phrase select no if the group of words in italics is not a noun phrase is 2/3 rational number