Solve for x
x=\frac{3y+77}{4}
Solve for y
y=\frac{4x-77}{3}
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7x-7y+x+y=91+63
Multiply both sides of the equation by 7.
8x-7y+y=91+63
Combine 7x and x to get 8x.
8x-6y=91+63
Combine -7y and y to get -6y.
8x-6y=154
Add 91 and 63 to get 154.
8x=154+6y
Add 6y to both sides.
8x=6y+154
The equation is in standard form.
\frac{8x}{8}=\frac{6y+154}{8}
Divide both sides by 8.
x=\frac{6y+154}{8}
Dividing by 8 undoes the multiplication by 8.
x=\frac{3y+77}{4}
Divide 154+6y by 8.
7x-7y+x+y=91+63
Multiply both sides of the equation by 7.
8x-7y+y=91+63
Combine 7x and x to get 8x.
8x-6y=91+63
Combine -7y and y to get -6y.
8x-6y=154
Add 91 and 63 to get 154.
-6y=154-8x
Subtract 8x from both sides.
\frac{-6y}{-6}=\frac{154-8x}{-6}
Divide both sides by -6.
y=\frac{154-8x}{-6}
Dividing by -6 undoes the multiplication by -6.
y=\frac{4x-77}{3}
Divide 154-8x by -6.
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