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

3x + 2y = 12
x = -y + 2

1 Answer

4 votes
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.
User DamirR
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