Solve for x
x=6-y
Solve for y
y=6-x
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y+3=-\left(x-9\right)
The opposite of -3 is 3.
y+3=-x+9
To find the opposite of x-9, find the opposite of each term.
-x+9=y+3
Swap sides so that all variable terms are on the left hand side.
-x=y+3-9
Subtract 9 from both sides.
-x=y-6
Subtract 9 from 3 to get -6.
\frac{-x}{-1}=\frac{y-6}{-1}
Divide both sides by -1.
x=\frac{y-6}{-1}
Dividing by -1 undoes the multiplication by -1.
x=6-y
Divide y-6 by -1.
y+3=-\left(x-9\right)
The opposite of -3 is 3.
y+3=-x+9
To find the opposite of x-9, find the opposite of each term.
y=-x+9-3
Subtract 3 from both sides.
y=-x+6
Subtract 3 from 9 to get 6.
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