Solve x/y+2=1/4

$$\frac { x } { y + 2 } = \frac { 1 } { 4 }$$

Solve for x

$$x=\frac{y+2}{4}$$

$$y\neq -2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4\left(y+2\right), the least common multiple of y+2,4.

$$4x=y+2$$

Divide both sides by 4.

$$\frac{4x}{4}=\frac{y+2}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$x=\frac{y+2}{4}$$

Divide y+2 by 4.

$$x=\frac{y}{4}+\frac{1}{2}$$

Solve for y

$$y=4x-2$$

$$x\neq 0$$

Solution Steps

Variable y cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by 4\left(y+2\right), the least common multiple of y+2,4.

$$4x=y+2$$

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

$$y+2=4x$$

Subtract 2 from both sides.

$$y=4x-2$$

Variable y cannot be equal to -2.

$$y=4x-2\text{, }y\neq -2$$