Solve 159.5/x=152/y

$$\frac { 159.5 } { x } = \frac { 152 } { y }$$

Solve for x

$$x=\frac{319y}{304}$$

$$y\neq 0$$

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.

$$y\times 159.5=x\times 152$$

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

$$x\times 152=y\times 159.5$$

The equation is in standard form.

$$152x=\frac{319y}{2}$$

Divide both sides by 152.

$$\frac{152x}{152}=\frac{319y}{2\times 152}$$

Dividing by 152 undoes the multiplication by 152.

$$x=\frac{319y}{2\times 152}$$

Divide \frac{319y}{2} by 152.

$$x=\frac{319y}{304}$$

Variable x cannot be equal to 0.

$$x=\frac{319y}{304}\text{, }x\neq 0$$

Solve for y

$$y=\frac{304x}{319}$$

$$x\neq 0$$

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.

$$y\times 159.5=x\times 152$$

The equation is in standard form.

$$159.5y=152x$$

Divide both sides of the equation by 159.5, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{159.5y}{159.5}=\frac{152x}{159.5}$$

Dividing by 159.5 undoes the multiplication by 159.5.

$$y=\frac{152x}{159.5}$$

Divide 152x by 159.5 by multiplying 152x by the reciprocal of 159.5.

$$y=\frac{304x}{319}$$

Variable y cannot be equal to 0.

$$y=\frac{304x}{319}\text{, }y\neq 0$$