Solve x/y+2*30=90

$$\frac { x } { y + 2 } \cdot 30 = 90$$

Solve for x

$$x=3\left(y+2\right)$$

$$y\neq -2$$

Solution Steps

Divide both sides by 30.

$$\frac{x}{y+2}=\frac{90}{30}$$

Divide 90 by 30 to get 3.

$$\frac{x}{y+2}=3$$

Multiply both sides of the equation by y+2.

$$x=3\left(y+2\right)$$

Use the distributive property to multiply 3 by y+2.

$$x=3y+6$$

Solve for y

$$y=\frac{x-6}{3}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Divide both sides by 30.

$$\frac{x}{y+2}=\frac{90}{30}$$

Divide 90 by 30 to get 3.

$$\frac{x}{y+2}=3$$

Variable y cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by y+2.

$$x=3\left(y+2\right)$$

Use the distributive property to multiply 3 by y+2.

$$x=3y+6$$

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

$$3y+6=x$$

Subtract 6 from both sides.

$$3y=x-6$$

Divide both sides by 3.

$$\frac{3y}{3}=\frac{x-6}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$y=\frac{x-6}{3}$$

Divide x-6 by 3.

$$y=\frac{x}{3}-2$$

Variable y cannot be equal to -2.

$$y=\frac{x}{3}-2\text{, }y\neq -2$$