Solve for u
u=-\frac{5v}{4}+115
Solve for v
v=-\frac{4u}{5}+92
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4u+5v=460
Multiply both sides of the equation by 20, the least common multiple of 5,4.
4u=460-5v
Subtract 5v from both sides.
\frac{4u}{4}=\frac{460-5v}{4}
Divide both sides by 4.
u=\frac{460-5v}{4}
Dividing by 4 undoes the multiplication by 4.
u=-\frac{5v}{4}+115
Divide 460-5v by 4.
4u+5v=460
Multiply both sides of the equation by 20, the least common multiple of 5,4.
5v=460-4u
Subtract 4u from both sides.
\frac{5v}{5}=\frac{460-4u}{5}
Divide both sides by 5.
v=\frac{460-4u}{5}
Dividing by 5 undoes the multiplication by 5.
v=-\frac{4u}{5}+92
Divide 460-4u by 5.
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