Solve for x
x=\frac{4y-10}{7}
Solve for y
y=\frac{7x}{4}+\frac{5}{2}
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-7x=10-4y
Subtract 4y from both sides.
\frac{-7x}{-7}=\frac{10-4y}{-7}
Divide both sides by -7.
x=\frac{10-4y}{-7}
Dividing by -7 undoes the multiplication by -7.
x=\frac{4y-10}{7}
Divide 10-4y by -7.
4y=10+7x
Add 7x to both sides.
4y=7x+10
The equation is in standard form.
\frac{4y}{4}=\frac{7x+10}{4}
Divide both sides by 4.
y=\frac{7x+10}{4}
Dividing by 4 undoes the multiplication by 4.
y=\frac{7x}{4}+\frac{5}{2}
Divide 10+7x by 4.
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