Solve for A
A=\frac{5B}{3}
Solve for B
B=\frac{3A}{5}
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3\times 2A=5\times 2B
Multiply both sides of the equation by 15, the least common multiple of 5,3.
6A=5\times 2B
Multiply 3 and 2 to get 6.
6A=10B
Multiply 5 and 2 to get 10.
\frac{6A}{6}=\frac{10B}{6}
Divide both sides by 6.
A=\frac{10B}{6}
Dividing by 6 undoes the multiplication by 6.
A=\frac{5B}{3}
Divide 10B by 6.
3\times 2A=5\times 2B
Multiply both sides of the equation by 15, the least common multiple of 5,3.
6A=5\times 2B
Multiply 3 and 2 to get 6.
6A=10B
Multiply 5 and 2 to get 10.
10B=6A
Swap sides so that all variable terms are on the left hand side.
\frac{10B}{10}=\frac{6A}{10}
Divide both sides by 10.
B=\frac{6A}{10}
Dividing by 10 undoes the multiplication by 10.
B=\frac{3A}{5}
Divide 6A by 10.
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