Solve 110x/112y=15%/20%

$$\frac{ 110x }{ 112y } = \frac{ 15 \% }{ 20 \% }$$

Solve for x

$$x=\frac{42y}{55}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 112y.

$$110x=560y\times \frac{15}{100}$$

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$110x=560y\times \frac{3}{20}$$

Multiply 560 and \frac{3}{20} to get 84.

$$110x=84y$$

Divide both sides by 110.

$$\frac{110x}{110}=\frac{84y}{110}$$

Dividing by 110 undoes the multiplication by 110.

$$x=\frac{84y}{110}$$

Divide 84y by 110.

$$x=\frac{42y}{55}$$

Solve for y

$$y=\frac{55x}{42}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 112y.

$$110x=560y\times \frac{15}{100}$$

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$110x=560y\times \frac{3}{20}$$

Multiply 560 and \frac{3}{20} to get 84.

$$110x=84y$$

Swap sides so that all variable terms are on the left hand side.

$$84y=110x$$

Divide both sides by 84.

$$\frac{84y}{84}=\frac{110x}{84}$$

Dividing by 84 undoes the multiplication by 84.

$$y=\frac{110x}{84}$$

Divide 110x by 84.

$$y=\frac{55x}{42}$$

Variable y cannot be equal to 0.

$$y=\frac{55x}{42}\text{, }y\neq 0$$