Solve for x
x=\frac{11011}{20y}
y\neq 0
Solve for y
y=\frac{11011}{20x}
x\neq 0
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1001\times 11=x\times 20y
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 1001x, the least common multiple of x,1001.
11011=x\times 20y
Multiply 1001 and 11 to get 11011.
x\times 20y=11011
Swap sides so that all variable terms are on the left hand side.
20yx=11011
The equation is in standard form.
\frac{20yx}{20y}=\frac{11011}{20y}
Divide both sides by 20y.
x=\frac{11011}{20y}
Dividing by 20y undoes the multiplication by 20y.
x=\frac{11011}{20y}\text{, }x\neq 0
Variable x cannot be equal to 0.
1001\times 11=x\times 20y
Multiply both sides of the equation by 1001x, the least common multiple of x,1001.
11011=x\times 20y
Multiply 1001 and 11 to get 11011.
x\times 20y=11011
Swap sides so that all variable terms are on the left hand side.
20xy=11011
The equation is in standard form.
\frac{20xy}{20x}=\frac{11011}{20x}
Divide both sides by 20x.
y=\frac{11011}{20x}
Dividing by 20x undoes the multiplication by 20x.
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