Solve for x
x=\frac{2y}{3}-\frac{35}{6}
Solve for y
y=\frac{3x}{2}+\frac{35}{4}
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6x=4y-35
Subtract 35 from both sides.
\frac{6x}{6}=\frac{4y-35}{6}
Divide both sides by 6.
x=\frac{4y-35}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{2y}{3}-\frac{35}{6}
Divide 4y-35 by 6.
4y=35+6x
Swap sides so that all variable terms are on the left hand side.
4y=6x+35
The equation is in standard form.
\frac{4y}{4}=\frac{6x+35}{4}
Divide both sides by 4.
y=\frac{6x+35}{4}
Dividing by 4 undoes the multiplication by 4.
y=\frac{3x}{2}+\frac{35}{4}
Divide 35+6x by 4.
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