Solve for x
x=\frac{40y}{7}
y\neq 0
Solve for y
y=\frac{7x}{40}
x\neq 0
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7x=40y
Multiply both sides of the equation by 5y.
\frac{7x}{7}=\frac{40y}{7}
Divide both sides by 7.
x=\frac{40y}{7}
Dividing by 7 undoes the multiplication by 7.
7x=40y
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5y.
40y=7x
Swap sides so that all variable terms are on the left hand side.
\frac{40y}{40}=\frac{7x}{40}
Divide both sides by 40.
y=\frac{7x}{40}
Dividing by 40 undoes the multiplication by 40.
y=\frac{7x}{40}\text{, }y\neq 0
Variable y cannot be equal to 0.
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