What is the x-coordinate of the solution of the following system of equations?

3x + 2y = 12

x = - y + 2

Plug in the x value from the second equation

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

use distributive property.

-3y+6+2y=12

since the y values are in the same side of the = sign, just put them together.

-y+6=12

subtract 6 from 6 and 12.

-y=6

since the equation has a negative y, divide what is left by - 1.

y = - 6.

that is the y value. now plug that in to the first equation.

3x+2 (-6) = 12

multiply.

3x-12=12add 12 to both 12s

3x=24

divide.

x=8.

the ordered pair is (8, - 6), and the x value is 8.