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What is the solution to the given system of equations?

y=4x-28

y=1.5x-18


1(-12,4)

2.(2,-12)

3.(7,0)

4.(7.5,2)

1 Answer

2 votes

Answer:

Solution (4, -12)

None of the listed choices are a solution

Explanation:

y = 4x - 28

y = 1.5x - 18

Set the equations equal since both equal y

4x - 28 = 1.5x - 18

Subtract 1.5x from both sides

2.5x - 28 = -18

Add 28 to both sides

2.5x = 10

Divide both sides by 2.5

x = 4

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

use x= 4 in either equation

y = 4x - 28

y = 4(4) - 28

y = 16 - 28

y = -12

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

Solution (4, -12)

User Raulmarcosl
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