Solve for v
v=\frac{7wx}{y}
x\neq 0\text{ and }y\neq 0
Solve for w
w=\frac{vy}{7x}
x\neq 0\text{ and }y\neq 0
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yv=7xw
Multiply both sides of the equation by 7xy, the least common multiple of 7x,y.
vy=7wx
Reorder the terms.
yv=7wx
The equation is in standard form.
\frac{yv}{y}=\frac{7wx}{y}
Divide both sides by y.
v=\frac{7wx}{y}
Dividing by y undoes the multiplication by y.
yv=7xw
Multiply both sides of the equation by 7xy, the least common multiple of 7x,y.
7xw=yv
Swap sides so that all variable terms are on the left hand side.
7xw=vy
The equation is in standard form.
\frac{7xw}{7x}=\frac{vy}{7x}
Divide both sides by 7x.
w=\frac{vy}{7x}
Dividing by 7x undoes the multiplication by 7x.
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