Solve the system of linear equations. 4x + 6y = 12 x + 2y = 10 The solution is​

Answers

Answer 1

Answer:

x = -18, y = 14

Step-by-step explanation:

4x + 6y = 12

x + 2y = 10

Divide both sides of the first equation by 2. Write the second equation below it.

2x + 3y = 6

x + 2y = 10

Rewrite the first equation. Multiply both sides of the second equation by -2 and write below it. Then add the equations eliminating x.

      2x + 3y = 6

(+)  -2x - 4y = -20

-------------------------

             -y = -14

y = 14

Substitute 14 for y in the second equation and solve for x.

x + 2y = 10

x + 2(14) = 10

x + 28 = 10

x = -18

Solution: x = -18, y = 14


Related Questions

7 7/8 + 2 1/3 = x this is a problem tht I’m struggling with

Answers

x =
First, before we can add, we have to find a common denominator.
We can use 24.
7 7/8 x 3/3 = 7 21/24
2 1/3 x 8/8 = 2 8/24
Now we add.
7 21/24 + 2 8/24 = 9 29/24 (denominator stays the same)
Lastly, simplify
9 29/24 = 10 5/24
Hope this helps

Let's solve your equation step-by-step

7 7/8 +2 1/3 =x

Step 1: Simplify both sides of the equation

245/24 =x

Step 2:Flip the equation

x=245/24

Answer: x=10 5/24

Can someone help me photo is above

Answers

Answer: 9x + (-1)

Step-by-step explanation:

(7x + 2x) + (2 -3)

9x + (-1)

Answer:

14x²-17x-6

Step-by-step explanation:

multiply (7x+2)(2x-3)

(1) multiply 7x and 2x =14x²

(2) multiply 7x and -3 = -21x

(3) multiply 2 and 2x= 4x

(4) multiply 2 and -3 = -6

Last step: add all answers from step 1 to 4

: 14x² +(-21x)+4x+(-6)

answer: 14x²-17x-6

help me please i dont get it

Answers

Answer:

b

Step-by-step explanation:

b

Answer:6/12

Step-by-step explanation: you find the common denominator (12 in this case) and multiply 3 by 4 to get that,then you multiply one to get 4.And finally you can add (terrible explanation)

What is the value of for -6a^-3b^2 for a=-2 and b=4?

Answers

Easy buddy....

[tex] - 6 \times ({ - 2})^{ - 3} \times ({4})^{2} = [/tex]

[tex] - 6 \times ({ - \frac{1}{2} })^{3} \times 16 = \\ [/tex]

[tex] - 6 \times ( - \frac{1}{8}) \times 16 = \\ [/tex]

16 simplifies to by 8 and equals 2

[tex] - 6 \times ( - 2) = 12[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

ivy bought 10 packs of cups for her holiday party. a pack of medium cups costs $1.80 and a pack of large cups costs $2.40. she paid a total of $21.60. how many packs of each size cup did she buy?

Answers

Answer:

4 packs of medium cups and 6 packs of large cups

Step-by-step explanation:

1.80x + 2.40y = 21.60

1.80(4) + 2.40(6) = 21.60

7.2 + 14.4 = 21.60

21.60 = 21.60

Answer:

Ivy bought 4 packs of medium cups, and 6 packs of large cups.

Step-by-step explanation:

To solve this problem, we will have to use a system of equations. Our first equation will represent the cups, and our second equation the costs.

Let [tex]m[/tex] equal medium cups.

Let [tex]l[/tex] equal large cups.

[tex]m+l=10[/tex]

[tex]1.80m+2.40l=21.60[/tex]

Let's use substitution to solve this system.

Subtract [tex]l[/tex] from both sides of the first equation:

[tex]m=10-l[/tex]

Let's substitute [tex]10-l[/tex] into the second equation for [tex]m[/tex]:

[tex]1.80(10-l)+2.40l=21.60[/tex]

Distribute [tex]1.80[/tex] into [tex](10-l)[/tex]:

[tex]18-1.80l+2.40l=21.60[/tex]

Combine like terms:

[tex]18+0.6l=21.60[/tex]

Subtract [tex]18[/tex] from both sides of the equation:

[tex]-0.6l=3.60[/tex]

Divide by the coefficient of [tex]l[/tex], which is [tex]0.6[/tex]:

[tex]l=6[/tex]

Ivy bought 6 packs of large cups.

_

Let's substitute [tex]6[/tex] into the first equation to find the number of medium cup packs:

[tex]m+6=10[/tex]

Subtract [tex]6[/tex] from both sides of the equation:

[tex]m=4[/tex]

Ivy bought 4 packs of medium cups.

_

We can check our work 2 ways; by substituting our solved values into the initial equations.

1st Equation Check:

[tex](4)+(6)=10[/tex]

[tex]10=10[/tex]

2nd Equation Check:

[tex]1.80(4)+2.40(6)=21.60[/tex]

[tex]7.2+14.4=21.60[/tex]

[tex]21.60=21.60[/tex]

Our answers are correct!

Someone help me im struggling.
Find the length of d in the figure below if a = 8 in., b = 3 in., and c = 4 in. Round your answer to the nearest tenth.

Answers

Answer:

Let's see what to do buddy...

Step-by-step explanation:

_________________________________

Step (1)

First we find the diameter ((h)) of the rectangle on the floor using the Pythagorean theorem.

So we have :

[tex] {h}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex] {h}^{2} = 64 + 9 [/tex]

[tex] {h}^{2} = 73 [/tex]

[tex]h = \sqrt{73} [/tex]

_________________________________

Step (2)

Now we another using of Pythagorean theorem for finding d :

[tex] {d}^{2} = {h}^{2} + {c}^{2} [/tex]

[tex] {d}^{2} = 73 + 16 [/tex]

[tex] {d}^{2} = 89 [/tex]

[tex]d = \sqrt{89} [/tex]

[tex]d = 9.4[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

passes through (-7, -4) parallel to y=1/2x+9

Answers

Answer:

y = 1/2x -.5

Step-by-step explanation:

We know that is the line is parallel to the equation then the slopes are going to be the same we just have to find the a different y-intercept.

It's a simple as this just plug the points into the equation you have like this.

(-7,-4) (PLUG IN)

-4 = 1/2(-7) +b (I do plus be so we can get another y intercept)

-4 = -3.5 + b (add 3.5 on each side)

-.5 = b

the equation parallel to the first one is...

y = 1/2x -.5

help please i’m really stuck and i need help please

Answers

x+10+3x+18=180 is the first part
4x+28=180
4x=152
x=38

Jackie drinks a bottle of water and a bottle of orange juice every morning the bottle of water has 16.9 the bottle of orange juice has 15.2 which is the best estimate for the total amount jackie drinks in the morning for an entire week and gives a good explanation for that estimate

Answers

Answer:

224.7cl            

Step-by-step explanation:

Ok, noticed that the bottles are not properly given a unit according to the question.

let us assume the units are in centiliters that is cl

Every morning the bottle of water has 16.9cl

the bottle of orange juice has 15.2cl

therefore if Jakie does this drinking continuously for 7 days she will be drinking

bottle of water has 16.9cl*7= 118.3cl

bottle of orange juice has 15.2cl*7=106.4cl

total=118.3+106.4

total is 224.7cl

Brandon goes to the fair with $25.00. He spends $4.00 to get in and the rest on tickets for rides. Each ride ticket costs $1.50. How many ride tickets does brandon buy? Explain how you got your answer below.

Answers

Answer:

14

Step-by-step explanation:

$25.00 - $4.00 = $21.00

$21.00 / $1.50 = 14

Answer:

14 ride tickets

Step-by-step explanation:

He has $25, and spends $4. So 25 - 4 = 21. Each ride ticket is $1.50. So 21 ÷ 1.50 = 14

Plz Help With This Math Brainliest First Person

Answers

Answer:

∠L = 54°

Step-by-step explanation:

5x + 2x + 3x = 180 (all angles in a triangle add up to 180)

10x = 180

x = 18°

∠L = 3x

sub x = 18

3(18) = 54

∠L = 54°

Find the length of each colored line

Answers

Answer:

1: 2cm

2: 5cm

Step-by-step explanation:

Answer:

First one is 2, second is 5

Step-by-step explanation:

Is the answer yes or no that’s all I want to know #Respectfully

Answers

Answer:

What your question?

Step-by-step explanation:

Answer:

I think the question is yes

PLEASE HELP!! (I'LL GIVE BRAINLY!)

Answers

Answer:

x inntercept is 2

Step-by-step explanation:

Three times a number that is decreased by four is sixty-two. Find the number.

Answers

Answer: 22

Step-by-step explanation: (22 x 3) -4 = 62

Drag each tile to the correct location on the table. Each tile can be used more than once, but not all tiles will be used.
Choose the justification for each step in the solution to the given equation.
multiplication property of equality
subtraction property of equality
division property of equality
addition property of equality
simplification
Multiple tiles can be used.

Answers

From up to down in justification :

1) Subtraction property of equality

2) Simplification

3) Subtraction property of equality

4) Simplification

5) Division property of equality (( I'm not sure))

6) Simplification

Answer:

Subtract

simp

subtract

simp

multiply

simp

Step-by-step explanation:

How many angles are supplementary to the angle of 100 degrees?

Answers

Answer:

I think its 2 good luck

Step-by-step explanation:

Answer:

100 degrees and 80 degrees are supplementary angles

Step-by-step explanation:

2 angles are supplementary if they add up to 180 degrees

-7/-11 is the same as -7/11 True or false (Plz help me

Answers

Answer: False

Step-by-step explanation:

Two negatives equals a positive

Answer:

FALSE

Step-by-step explanation:

what is the slope of the line that passes through 2,-1 and 2,-5

Answers

Answer:

Undefined.

Step-by-step explanation:

When using the formula y2-y1/x2-x1, the result comes out as -4/0. Any number over a 0 is undefined.

The new number, 200, is 400 less than the original number. What is the approximate percent change?
The percent change is approximately 0.6%.
The percent change is approximately 1.5%.
The percent change is approximately 66%.
The percent change is approximately 150%.

Answers

Answer:

The percent change is approximately 66%.

Step-by-step explanation:

200 is one-third of 600. In math involving percentages, division comes into play in some ways. Divide 600 by 3, and you get 200. 33% is a third of 100% in mathematics, meaning that 200 is one-third, or 33%, of 600.

Answer:

the answer is 66

Step-by-step explanation:

i just did the test

__ = 4
22 8

Anybody know???

Answers

88 because 22/22 is 1 so you 22x4
88 because i took the test.

james and bethany morrison are celebrating their 10th anniversary by having a reception at a local reception hall. they have budgeted $2.500 for their reception. if the reception hall charges a $100 cleanup fee plus $33 per person, find the greatest number of people that they may invite and still stay within their budget

Answers

Answer:

72 guests

Step-by-step explanation:

2 500$ - 100$ {divided by} 33$ = 72.73 = 72 (round down)

Last year the depth of the river was 4.2 feet deep.

This year it dropped 8%.

Find the depth of the river this year
HELP ME PLSS !!!

Answers

Answer:

should be around 3.9 exact answer is 3.864

Step-by-step explanation: subtract the percentage from the original depth

Find the inverse of the one-to-one function.
y = 3x+4

Answers

Hope this is helpful

3.) Light travels at a speed of 1.25 x 107 miles per minute. Pluto's average distance from the
Sun is about 3,550,000,000 miles. On average, how long does it take sunlight to reach Pluto?

Answers

I have no idea whether those numbers are correct, and I'm not gonna bother looking them up.

But you gave us a speed and a distance, and you asked for a time.

We can just go ahead and use the formula:  Time = (distance) / (speed) .

IF your numbers are true, then

Time = (distance) / (speed)

Time = (3.55 x 10⁹ mi) / (1.25 x 10⁷ mi/min)

Time =  (3.55 x 10⁹ / 1.25 x 10⁷) minutes

Time =  2.84 x 10² minutes

Time = 284 minutes

Time = 4 hours 44 minutes

Which simplified equation is equivalent to the equation shown below?

15x - 5 + x= -47

A. 11x= -47
B. 16x-5= -47
C. 14x - 5 = -47
D. 21x = -47

Answers

Answer: B

Step-by-step explanation:

The simplified equation that is equivalent to the given equation is 16x - 5 = -47. The correct answer is option B.

The equation is given as follows:

15x - 5 + x = -47

A solution to an equation, as we know, is a variable value that, when substituted into the equation, provides a true claim.

To simplify the equation 15x - 5 + x = -47, we can combine the like terms on the left side of the equation.

Combining the terms with 'x', we have:

15x + x - 5 = -47

16x - 5 = -47

Therefore, the simplified equation that is equivalent to the given equation is 16x - 5 = -47.

Learn more about the solution to the equation here:

brainly.com/question/15272274

#SPJ6

While scuba diving, Alex counted the number of sea turtles and jellyfish he saw. After a few minutes, he counted 4 sea turtles and 12 jellyfish. This ratio remained constant during the remainder of his dive. Fill in the parts of the equation that models the relationship between jellyfish, and sea turtles.

Answers

Answer:

Down Bellow

Step-by-step explanation:

1 to 3

4 to 12

8 to 24

14 to 42

20 to 60

Part B

J = 3x t

Answer Prt B: 3x

Answer Part A: ^          

                         |

The equation 3x =y models the relationship between jellyfish, and sea turtles such that the ratio of their numbers remain constant.

What is ratio?

Ratio is the relationship between two numbers given by a quotient

If the ratio of two numbers x and y is x/y then the fraction x/y gives that what parts x is of y .

Given that there are 4 sea turtle and 12 jellyfish in the sea when Alex counted the number.

Ratio of number of sea turtle to number of jellyfish = 4/12 = 1/3

Let at any time the number of sea turtles be x and number of jellyfish be y

Then ratio of number of sea turtles to jellyfish = x / y

Given that this ratio remained constant during the remainder of his dive,

∴ x/y = 1/3

Cross multiply

⇒ 3x = y

The equation that models the relationship between jellyfish, and sea turtles is 3x =y

Also, learn more about ratio from the link below:

https://brainly.com/question/13419413

#SPJ2

Sturdy the diagram
Value of

Answers

Step-by-step explanation:

5x + 2 = 50 - x (vertically opp angle)

5x + x = 50 - 2

6x = 48

x = 8

if you wanna check it,

5x + 2 = 50 - x

5(8) + 2 = 50 - 8

40 + 2 = 42

42 = 42

HELP PLS UHM 15 POINTS AND Brainliest

Answers

Answer:

(0,2)

Step-by-step explanation:

The intercept is the part of the line touching the quadrat.

Answer:

B (0,2)

Step-by-step explanation:

Because if its on the red line on the y axis its 2.

Please answer correctly !!!!!!!!! Will mark brainliest !!!!!!!!!!!!! Show your work !!!!!!!!!!!!

Answers

if x = 3 then you plug in a 3 every time you see a x

4(3)+8
12+8
20

2(3)+3
6+3
9

since you are finding the area you multiply those two numbers so

20•9
180

final answer=180
Other Questions
Select ALL of the events that were important to Jamestown and to the future of British America in 1619.Question 22 options:Large numbers of women arrive in the colonyMany settlers left the New World to return to EnglandFirst elected lawmakersDestruction of the Powhatan IndiansConflict with FranceEnglish settlers can own land after 7 years of laborFirst labor strike for rightsFirst Africans arrived in the colony What are some important characteristics of the Arabian Peninsula's physical geography? A water balloon is dropped from 196 meters above the surface of Earth, from anairplane traveling at 98 m/s. What are the horizontal and vertical speeds of the balloonwhen it hits the ground if it takes 6.3 seconds to drop to the surface of Earth? Write the first four terms of sequence f(n) = n ^ 2 + 2n + 5 Some one please help me by please helping me... translate the following pronouns into Spanish. i is yo u (familiar)?u (formal)? They (all boys)?they (all girls)? Write the function in vertex form. y=x^2+5x-9 Graph the linear function described by the equationy = -3x - 2.Step 1: Identify the slope and y-intercept.slope = Alexis is a high school student who practices abstinence. Based on this information, which statement comparing Alexis to her sexually active peers is most accurate? She is more likely to abuse alcohol and mild drugs. She is more likely to have many sexual relationships later in life. She is more likely to graduate from high school and college. She is more likely to date older people. 3-818Which expressions equivalent toSelect all that apply.1A341B312C 3-4D 32E132F 3-12 Jeremiah's dog eats 5/8 of a can of food each day. Jeremiah currently has 2 1/2 cans of dog food. How many days will the current supply of dog food last?Write your answer as a fraction or as a whole or mixed number. Before 1918, approximately 40% of the wolves in a region were male, and 60% were female. However, cattle ranchers in this area have made a determined effort to exterminate wolves. From 1918 to the present, approximately 60% of wolves in the region are male, and 40% are female. Biologists suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. (Round your answers to three decimal places.) (a) Before 1918, in a random sample of 10 wolves spotted in the region, what is the probability that 7 or more were male pls wright the question in spanish:What do you prefer: water or coffee?Remember:Use the correct form of preferir.Use the correct question word for what.Use correct punctuation and accent marks. Simplify56to lowest terms.64 Can anyone able to solve this. A KIDZ society started a campaign "Plant the Plants " . They bought 750 saplings and wanted to arrange the maximum possible number of 750 saplings in a ground such that the number of rows is equal to the number of saplings in each row .Find the number of rows if 21 saplings were left out after the rearrangement . What's the difference between and next to a word in Korean? Can someone help with the last 2? The cell produces energy in thePlease help 12. The use of hints and clues to suggest what will happen later in a plotO onomatopoeiaO themenarrativeO foreshadowing The lumper potatoes that were grown in Ireland during the 1800s were essentially clones of one another. They all had the same genetic makeup. So, when a potato blight disease began infecting the potatoes, it spread to all potatoes equally. How could greater genetic diversity have lessened the devastation of the potato blight?