Solve for a
a=\frac{10x+8b}{7}
Solve for b
b=\frac{7a}{8}-\frac{5x}{4}
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7a=10x+8b
Add 8b to both sides.
\frac{7a}{7}=\frac{10x+8b}{7}
Divide both sides by 7.
a=\frac{10x+8b}{7}
Dividing by 7 undoes the multiplication by 7.
-8b=10x-7a
Subtract 7a from both sides.
\frac{-8b}{-8}=\frac{10x-7a}{-8}
Divide both sides by -8.
b=\frac{10x-7a}{-8}
Dividing by -8 undoes the multiplication by -8.
b=\frac{7a}{8}-\frac{5x}{4}
Divide 10x-7a by -8.
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