x=(y+2)-3x and y+2=2x-2 solve by subsititution
in Algebra 2 Answers by Level 1 User (120 points)

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Problem: How do you solve by subsitutuion these two equations, x=(y+2)-3x and y+2=2x-2
x=(y+2)-3x and y+2=2x-2 solve by subsititution

1) x = (y + 2) - 3x
4x = y + 2
4x - 2 = y

2) y + 2 = 2x - 2
y = 2x - 4

Substitute the value of y from equation 2 into equation 1.

4x - 2 = y
4x - 2 = 2x - 4
2x = -2
x = -1

Use that and equation 2 to solve for y.

y = 2x - 4
y = 2(-1) - 4
y = -2 - 4
y = -6

Check by using equation 1.

x = (y + 2) - 3x
-1 = (-6 + 2) - 3(-1)
-1 = -4 + 3
-1 = -1

Answer: x = -1, y = -6

 

by Level 11 User (78.4k points)

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