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10\times 2=\frac{5x}{4}y
Multiply both sides by 2.
40\times 2=5xy
Multiply both sides of the equation by 4.
80=5xy
Multiply 40 and 2 to get 80.
5xy=80
Swap sides so that all variable terms are on the left hand side.
5yx=80
The equation is in standard form.
\frac{5yx}{5y}=\frac{80}{5y}
Divide both sides by 5y.
x=\frac{80}{5y}
Dividing by 5y undoes the multiplication by 5y.
x=\frac{16}{y}
Divide 80 by 5y.
10\times 2=\frac{5x}{4}y
Multiply both sides by 2.
40\times 2=5xy
Multiply both sides of the equation by 4.
80=5xy
Multiply 40 and 2 to get 80.
5xy=80
Swap sides so that all variable terms are on the left hand side.
\frac{5xy}{5x}=\frac{80}{5x}
Divide both sides by 5x.
y=\frac{80}{5x}
Dividing by 5x undoes the multiplication by 5x.
y=\frac{16}{x}
Divide 80 by 5x.