Solve for x
x=-\frac{7y}{13}+2
Solve for y
y=\frac{26-13x}{7}
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4x+9y-97+9x=2y-71
Add 9x to both sides.
13x+9y-97=2y-71
Combine 4x and 9x to get 13x.
13x-97=2y-71-9y
Subtract 9y from both sides.
13x-97=-7y-71
Combine 2y and -9y to get -7y.
13x=-7y-71+97
Add 97 to both sides.
13x=-7y+26
Add -71 and 97 to get 26.
13x=26-7y
The equation is in standard form.
\frac{13x}{13}=\frac{26-7y}{13}
Divide both sides by 13.
x=\frac{26-7y}{13}
Dividing by 13 undoes the multiplication by 13.
x=-\frac{7y}{13}+2
Divide -7y+26 by 13.
4x+9y-97-2y=-9x-71
Subtract 2y from both sides.
4x+7y-97=-9x-71
Combine 9y and -2y to get 7y.
7y-97=-9x-71-4x
Subtract 4x from both sides.
7y-97=-13x-71
Combine -9x and -4x to get -13x.
7y=-13x-71+97
Add 97 to both sides.
7y=-13x+26
Add -71 and 97 to get 26.
7y=26-13x
The equation is in standard form.
\frac{7y}{7}=\frac{26-13x}{7}
Divide both sides by 7.
y=\frac{26-13x}{7}
Dividing by 7 undoes the multiplication by 7.
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