Solve x/y=0.7

$$\frac { x } { y } = 0.7$$

Solve for y

$$y=\frac{10x}{7}$$

$$x\neq 0$$

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 y.

$$x=0.7y$$

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

$$0.7y=x$$

Divide both sides of the equation by 0.7, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.7y}{0.7}=\frac{x}{0.7}$$

Dividing by 0.7 undoes the multiplication by 0.7.

$$y=\frac{x}{0.7}$$

Divide x by 0.7 by multiplying x by the reciprocal of 0.7.

$$y=\frac{10x}{7}$$

Variable y cannot be equal to 0.

$$y=\frac{10x}{7}\text{, }y\neq 0$$

Solve for x

$$x=\frac{7y}{10}$$

$$y\neq 0$$

Solution Steps

Multiply both sides of the equation by y.

$$x=0.7y$$