Solve for x
x=\frac{7y+17}{6}
Solve for y
y=\frac{6x-17}{7}
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6x-10y+3y=17
Use the distributive property to multiply 2 by 3x-5y.
6x-7y=17
Combine -10y and 3y to get -7y.
6x=17+7y
Add 7y to both sides.
6x=7y+17
The equation is in standard form.
\frac{6x}{6}=\frac{7y+17}{6}
Divide both sides by 6.
x=\frac{7y+17}{6}
Dividing by 6 undoes the multiplication by 6.
6x-10y+3y=17
Use the distributive property to multiply 2 by 3x-5y.
6x-7y=17
Combine -10y and 3y to get -7y.
-7y=17-6x
Subtract 6x from both sides.
\frac{-7y}{-7}=\frac{17-6x}{-7}
Divide both sides by -7.
y=\frac{17-6x}{-7}
Dividing by -7 undoes the multiplication by -7.
y=\frac{6x-17}{7}
Divide 17-6x by -7.
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