Use substitution to solve the system of equations. 3x + 2y = 2 y = x - 9 (4, -5) (-5, 4) (4, 13) (20, 11)

(4,-5)

Step-by-step explanation:

You can use substitution to substitute the answer options in for x and y or substitute an equation in to find each variable.

Substitute an equation is the traditional method and will allow you to solve without any answer options.

1. Substitute y=x - 9 into 3x+2y=2.

3x+2(x-9) = 2

3x+2x-18=2

5x-18=2

5x=20

x=4

2. Substitute x=4 into y=x-9.

y = 4-9

y=-5

(4,-5) is the solution.

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