Solve x/y-1=10

$$\frac { x } { y - 1 } = 10$$

Solve for x

$$x=10\left(y-1\right)$$

$$y\neq 1$$

Solution Steps

Multiply both sides of the equation by y-1.

$$x=10\left(y-1\right)$$

Use the distributive property to multiply 10 by y-1.

$$x=10y-10$$

Solve for y

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

$$x\neq 0$$

Steps for Solving Linear Equation

Variable y cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by y-1.

$$x=10\left(y-1\right)$$

Use the distributive property to multiply 10 by y-1.

$$x=10y-10$$

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

$$10y-10=x$$

Add 10 to both sides.

$$10y=x+10$$

Divide both sides by 10.

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

Dividing by 10 undoes the multiplication by 10.

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

Divide x+10 by 10.

$$y=\frac{x}{10}+1$$

Variable y cannot be equal to 1.

$$y=\frac{x}{10}+1\text{, }y\neq 1$$