Use substitution to solve the
following system of equations.
-10x + 2y = 20 AND y = 3x + 2
pls pls help!

Answers

Answer 1

Answer:

(- 4, - 10 )

Step-by-step explanation:

Given the 2 equations

- 10x + 2y = 20 → (1)

y = 3x + 2 → (2)

Substitute y  3x + 2 into (1)

- 10x + 2(3x + 2) = 20 ← distribute parenthesis and simplify left side

- 10x + 6x + 4 = 20

- 4x + 4 = 20 ( subtract 4 from both sides )

- 4x = 16 ( divide both sides by - 4 )

x = - 4

Substitute x = - 4 into (2) for corresponding value of y

y = 3(- 4) + 2 = - 12 + 2 = - 10

solution is (- 4, - 10 )


Related Questions

Which fraction is equivalent to 2/6 and why?

Answers

Answer:

4/12

Step-by-step explanation:

1/6 - 2/12

2/6 = 4/12

Which expression can be used to represent the volume of this prism? 2 x 5 x 8 units32 x 5 x 8 u n i t s cubed 2 x 5 x 5 units32 x 5 x 5 u n i t s cubed 3 x 5 x 10units33 x 5 x 10u n i t s cubed 3 x 5 x 8 units33 x 5 x 8 u n i t s cubed

Answers

Answer:

See Explanation

Step-by-step explanation:

The question could not be solved because you did not include the image of the prism.

However, from the options; it can be deduced that the prism is a rectangular prism

To calculate the volume of a rectangular prism, you consider the following parameters:

LengthWidthHeight

And the Volume is then calculated by the products of the above parameters.

[tex]Volume = Length * Width * Height[/tex]

Take for instance, the attached image:

[tex]Length = 5[/tex]

[tex]Width = 8[/tex]

[tex]Height = 2[/tex]

[tex]Volume = 5 * 8 * 2\ units^3[/tex]

or

[tex]Volume = 80\ units^3[/tex]

Solve: -5-(-8)
ILL GIVE YOU 15 POINTS IF YOU HELP, ill mark you brainiest to

Answers

Answer:

3

Step-by-step explanation:

-5 + 8 = 3

keep inverse opposite:

-5 => -5

- => +

-8 => 8

help me please <3...

Answers

3
7
-5
-7
-12
-19
-8
5
0
0
-6
second row
-13
-30
-5
-46
15
-8
-15
0
-7
-56
-36

Answer:

(1) = 3

(2) = 7

(3) = -5

(4) = -7

(5) = -12

(6) = -19

(7) = -8

(8) = 5

(9) = 0

(10) = 0

(11) = -6

Second row:

(18) = -13

(19) = -30

(20) = -5

(21) = -46

(22) = 15

(23) = -8

(24) = -15

(25) = 0

(26) = -7

(27) = -56

(28) = -36

use a tape diagram to represent and find the value of 1/2 /1/3

Answers

Answer:

I|I||

Step-by-step explanation:

Take the last number in the fraction ( the denominator ) and make a segment that long. Than, take the first number in the fraction ( the numerator ) and highlight, bolden, color, or do whatever needs to be done to make sure that the numerator's value stand out.

The link at the bottom is an example...

A kite is flying at a vertical of 65 meters. It's string is attached to the ground at a 31 degree angle with the ground. How long is the string? Round the the nearest WHOLE NUMBER

Answers

Answer:

70 and 30

Step-by-step explanation:

Someone help me worth ✨10points✨​

Answers

9x - 4 = 4x + 1
9x - 4x = 1 + 4
5x = 5
x = 1

9 x 1 - 4 = 5
CB = 5

Angle BDA = 23 degrees

because it and angle CDB are adjacent angles
The answer to BDA = 23°

2. Solve each system of linear equations by graphing.
X-Y = -2
2x + y = 8

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Isolate Y

Then graph both on a calculator

Then see where both lines intersect

Anthony finds some dimes and quarters in his change purse. How much money (in
dollars) does he have if he has 10 dimes and 4 quarters? How much money (in
dollars) does he have if he has x dimes and y quarters?

Answers

Answer:

he has 2 dollars

Step-by-step explanation:

10 * 10$= 1$

4 * 25$=1$

1$+1$=2$

The data set below gives the number of points Micah scored during each basketball game this season. (5, 12, 27, 44, 30, 9, 18, 21, 26, 21, 6) Is there an outlier? If so, what is it?

Answers

Answer:

Yes there is an outlier and it is 44

Step-by-step explanation:

Outliers are values that seems to be far greater and lower than the rest of the data

From the given data we can see that 44 is much greater than the rest of the data making it an outlier in the data set

The removal or addition of the value when calculating the mean will make a huge difference in the resulting mean of the data. That's why they are called an outlier

35pt. of juice is poured equally into 6 glasses. How much juice is in each glass?

Answers

Answer:

Step-by-step explanation:

5 pints 35 divided by 6 is 5

PLEASE HELP ME I NEED TO FINISH THIS!!!

Answers

Answer:

2, 1, 1/2, 1/4

Step-by-step explanation:

2¹ = 2

2^0 = 1

2^-¹

= 1/2¹

= 1/2

2^-2

= 1/2²

= 1/2*2

= 1/4

To complete the table

2² 2¹ 2^0 2^-1 2^-2

4 2 1 1/2 1/4

Which function has an inverse that is also a function?

Answers

Answer:

Which function has an inverse that is also a function

What is the unit rate of pesos per dollar?

Answers

US Dollar to Mexican Peso Exchange Rate is at a current level of 19.75
XE Currency Converter: 1 USD to MXN = 19.8157 Mexican Pesos.

Help ASAP pleaseeee...

Answers

Answer:

Elimination is the best to solve it

Work out angle x 55 degrees

Answers

Answer:

62.5 degrees

Step-by-step explanation:

180-55= 125

125/2 = 62.5

The value for angle [tex]x[/tex] will be [tex]70^0[/tex] .

What is Angle ?

Angle is when two rays meet together then the space between them is angle.

We have,

[tex]x=?[/tex]

A triangle with one of its angle equals to [tex]55^0[/tex] and two sides are equal .

So,

"When two sides are equal then the interior angles opposite to these lines are also equal".

So,

According to the above mentioned theorem the angle other than the angle [tex]x[/tex] will be [tex]55^0[/tex] .

Now, Using angle sum property,

[tex]x+55^0+55^0=180^0[/tex]

[tex]x=180^0-110^0[/tex]

[tex]x=70^0[/tex]

So, the value of [tex]x[/tex] is [tex]70^0[/tex] which is find out using the angle sum property.

Hence, we can say that the value for angle [tex]x[/tex] will be [tex]70^0[/tex] .

To know more about angle click here

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pls help!! it’s a savvas

Answers

Answer:

letter d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

i just did it for points

he sum of twice a number and 15”

Answers

Answer:

2x + 15 = the sum of twice a number and 15

Step-by-step explanation:

by using thr numerical values from Q9, Calculate the sum of the letters in your answers to Q11 and Q12 by replacing the letters with their equivalent numbers and adding them up

Please help!! :D
find the height of the flagpole using the information given in the diagram
A: 20 ft
B: 38.4 ft
C: 55 ft
D: 25 ft

Answers

Answer:

The flagpole is 20 ft tall.

Step-by-step explanation:

We have two similar triangles here.

5 / 12 = x / 48

12x = 240

x = 20

Answer:

Step-by-step explanation:

is this triangle a SAS, AAS, ASA, SSS or HL?

Answers

Answer:

asa triangle.........

SSS triangle I believe.
because if both of the triangles are congruent they must be “SSS”.
I’m not sure although but I believe it is.

I neeeeeeddddd helppppppppppppppp

Answers

Answer:

The answer is x=9 :)

12 (x-4)=6 (x-1)
12x - 48 =6x + 6
12x - 6x = 6 + 48
6 = 54
X= 9

The answer is 9

sarah lost her science book her school charges a lost book fee equal to 75% of the cost of the book sarah recieved a notice she owes the school $60 for the book how much did the school pay for the book

Answers

Answer: $80

Step-by-step explanation:

You have been told that Sarah ended up paying $60, and you were told before that the charge for a lost book was 75%.

Therefore

$60 = 75%

Now we have to find out what amount of money would be equivalent to 100%:

To do this, find out what amount of money would be equivalent to 25% first.

You can do this by dividing both values by 3.

60 / 3 = 20

75 / 3 = 25

So now $20 = 25%

Now find 100% (which is the original amount) multiply each value by 4 :

$80 = 100%

So the school payed $80 for the book.

hope this helps :)

I need help as soon as possible

Answers

Answer:

A. x = 4

I hope this helps!

Can someone help me with 7- 16

Answers

Answer:

9

Step-by-step explanation:


Amalie's second-hand car cost 3,50,000. She spent another 21,20,000 on repair. She was still not satisfied
with the condition of the car and sold it at a loss of 10%.
PER
At what price did Amalie sell the car?

Answers

9514 1404 393

Answer:

  22,23,000

Step-by-step explanation:

The amount Amalie had invested in the car totaled ...

  3,50,000 +21,20,000 = 24,70,000

If she sold it for 100% -10% = 90% of that value, its selling price was ...

  24,70,000 × 0.90 = 22,23,000

which integer is seven units to the right of -4 ?​

Answers

Answer:

3

Step-by-step explanation:

-4 plus 7 is 3

please help for bainlest

Answers

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4} -\frac{1}{3}[/tex]

Find the common denominator and multiply each side by that number

[tex]\frac{9}{12} -\frac{4}{12}[/tex]

[tex]\frac{5}{12}[/tex]

For bolded part in explanation: 4·3=12 3·3=9

                                                    3·4=12 1·4=4

PLEASE HELP AND EXTRA POINTS. what method (factoring, using square roots, complete the square, and quadratic formula) would i use for solving this quadratic equation 6x^2+13x+2=0. justify your answer

Answers

Answer:

quadratic formula is the answer

A number went into this machine and 57 came out.
What number went in?

Answers

Answer:

47.5

Step-by-step explanation:

47.5=100%

57=120%

The input value is 47.5 when the output is 57.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

When the output is 120%, the input is 100%.

And the output is 1.2 times the input.

So, we have the output 57.

To find the input number:

Use division process,

The required number = 57 /1.2

The required number = 47.5.

Therefore, the number is 47.5.

To learn more about the division;

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HELPPP PLZ! This assignment is due today plz help

Answers

Train B is travelling at the greater speed. If you look at the graph, you can see that after two hours, train B has gone 250 miles, while A has gone only 120.
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