Solve for x
x=13-y
Solve for y
y=13-x
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180=7x+5y+y+102-x
Combine 2x and 5x to get 7x.
180=7x+6y+102-x
Combine 5y and y to get 6y.
180=6x+6y+102
Combine 7x and -x to get 6x.
6x+6y+102=180
Swap sides so that all variable terms are on the left hand side.
6x+102=180-6y
Subtract 6y from both sides.
6x=180-6y-102
Subtract 102 from both sides.
6x=78-6y
Subtract 102 from 180 to get 78.
\frac{6x}{6}=\frac{78-6y}{6}
Divide both sides by 6.
x=\frac{78-6y}{6}
Dividing by 6 undoes the multiplication by 6.
x=13-y
Divide 78-6y by 6.
180=7x+5y+y+102-x
Combine 2x and 5x to get 7x.
180=7x+6y+102-x
Combine 5y and y to get 6y.
180=6x+6y+102
Combine 7x and -x to get 6x.
6x+6y+102=180
Swap sides so that all variable terms are on the left hand side.
6y+102=180-6x
Subtract 6x from both sides.
6y=180-6x-102
Subtract 102 from both sides.
6y=78-6x
Subtract 102 from 180 to get 78.
\frac{6y}{6}=\frac{78-6x}{6}
Divide both sides by 6.
y=\frac{78-6x}{6}
Dividing by 6 undoes the multiplication by 6.
y=13-x
Divide 78-6x by 6.
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