Solve for x
x=\frac{17y}{10}-\frac{1}{5}
Solve for y
y=\frac{10x+2}{17}
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-10x+9y+8y=36-34
Combine 6x and -16x to get -10x.
-10x+17y=36-34
Combine 9y and 8y to get 17y.
-10x+17y=2
Subtract 34 from 36 to get 2.
-10x=2-17y
Subtract 17y from both sides.
\frac{-10x}{-10}=\frac{2-17y}{-10}
Divide both sides by -10.
x=\frac{2-17y}{-10}
Dividing by -10 undoes the multiplication by -10.
x=\frac{17y}{10}-\frac{1}{5}
Divide 2-17y by -10.
-10x+9y+8y=36-34
Combine 6x and -16x to get -10x.
-10x+17y=36-34
Combine 9y and 8y to get 17y.
-10x+17y=2
Subtract 34 from 36 to get 2.
17y=2+10x
Add 10x to both sides.
17y=10x+2
The equation is in standard form.
\frac{17y}{17}=\frac{10x+2}{17}
Divide both sides by 17.
y=\frac{10x+2}{17}
Dividing by 17 undoes the multiplication by 17.
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