Solve for a
a=\frac{9bx}{y}
x\neq 0\text{ and }y\neq 0
Solve for b
b=\frac{ay}{9x}
x\neq 0\text{ and }y\neq 0
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y\times 5a=3x\times 15b
Multiply both sides of the equation by 3xy, the least common multiple of 3x,y.
y\times 5a=45xb
Multiply 3 and 15 to get 45.
5ya=45bx
The equation is in standard form.
\frac{5ya}{5y}=\frac{45bx}{5y}
Divide both sides by 5y.
a=\frac{45bx}{5y}
Dividing by 5y undoes the multiplication by 5y.
a=\frac{9bx}{y}
Divide 45xb by 5y.
y\times 5a=3x\times 15b
Multiply both sides of the equation by 3xy, the least common multiple of 3x,y.
y\times 5a=45xb
Multiply 3 and 15 to get 45.
45xb=y\times 5a
Swap sides so that all variable terms are on the left hand side.
45xb=5ay
The equation is in standard form.
\frac{45xb}{45x}=\frac{5ay}{45x}
Divide both sides by 45x.
b=\frac{5ay}{45x}
Dividing by 45x undoes the multiplication by 45x.
b=\frac{ay}{9x}
Divide 5ya by 45x.
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