Solve 360/x=1100/y

$$\frac{ 360 }{ x } = \frac{ 1100 }{ y }$$

Solve for x

$$x=\frac{18y}{55}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by xy, the least common multiple of x,y.

$$y\times 360=x\times 1100$$

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

$$x\times 1100=y\times 360$$

The equation is in standard form.

$$1100x=360y$$

Divide both sides by 1100.

$$\frac{1100x}{1100}=\frac{360y}{1100}$$

Dividing by 1100 undoes the multiplication by 1100.

$$x=\frac{360y}{1100}$$

Divide 360y by 1100.

$$x=\frac{18y}{55}$$

Variable x cannot be equal to 0.

$$x=\frac{18y}{55}\text{, }x\neq 0$$

Solve for y

$$y=\frac{55x}{18}$$

$$x\neq 0$$

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 xy, the least common multiple of x,y.

$$y\times 360=x\times 1100$$

The equation is in standard form.

$$360y=1100x$$

Divide both sides by 360.

$$\frac{360y}{360}=\frac{1100x}{360}$$

Dividing by 360 undoes the multiplication by 360.

$$y=\frac{1100x}{360}$$

Divide 1100x by 360.

$$y=\frac{55x}{18}$$

Variable y cannot be equal to 0.

$$y=\frac{55x}{18}\text{, }y\neq 0$$