Solve 36/124=x/y

$$\frac { 36 } { 124 } = \frac { x } { y }$$

Solve for x

$$x=\frac{9y}{31}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 124y, the least common multiple of 124,y.

$$y\times 36=124x$$

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

$$124x=y\times 36$$

The equation is in standard form.

$$124x=36y$$

Divide both sides by 124.

$$\frac{124x}{124}=\frac{36y}{124}$$

Dividing by 124 undoes the multiplication by 124.

$$x=\frac{36y}{124}$$

Divide 36y by 124.

$$x=\frac{9y}{31}$$

Solve for y

$$y=\frac{31x}{9}$$

$$x\neq 0$$

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 124y, the least common multiple of 124,y.

$$y\times 36=124x$$

The equation is in standard form.

$$36y=124x$$

Divide both sides by 36.

$$\frac{36y}{36}=\frac{124x}{36}$$

Dividing by 36 undoes the multiplication by 36.

$$y=\frac{124x}{36}$$

Divide 124x by 36.

$$y=\frac{31x}{9}$$

Variable y cannot be equal to 0.

$$y=\frac{31x}{9}\text{, }y\neq 0$$