Solve 0.7x/y=17

$$\frac { 0.7 x } { y } = 17$$

Solve for x

$$x=\frac{170y}{7}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by y.

$$0.7x=17y$$

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

$$\frac{0.7x}{0.7}=\frac{17y}{0.7}$$

Dividing by 0.7 undoes the multiplication by 0.7.

$$x=\frac{17y}{0.7}$$

Divide 17y by 0.7 by multiplying 17y by the reciprocal of 0.7.

$$x=\frac{170y}{7}$$

Solve for y

$$y=\frac{7x}{170}$$

$$x\neq 0$$

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.

$$0.7x=17y$$

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

$$17y=0.7x$$

The equation is in standard form.

$$17y=\frac{7x}{10}$$

Divide both sides by 17.

$$\frac{17y}{17}=\frac{7x}{10\times 17}$$

Dividing by 17 undoes the multiplication by 17.

$$y=\frac{7x}{10\times 17}$$

Divide \frac{7x}{10} by 17.

$$y=\frac{7x}{170}$$

Variable y cannot be equal to 0.

$$y=\frac{7x}{170}\text{, }y\neq 0$$