Solve x:(y+16)=1:2

$$x : ( y + 16 ) = 1 : 2$$

Solve for x

$$x=\frac{y+16}{2}$$

$$y\neq -16$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2\left(y+16\right), the least common multiple of y+16,2.

$$2x=y+16$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{y+16}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{y+16}{2}$$

Divide y+16 by 2.

$$x=\frac{y}{2}+8$$

Solve for y

$$y=2\left(x-8\right)$$

$$x\neq 0$$

Solution Steps

Variable y cannot be equal to -16 since division by zero is not defined. Multiply both sides of the equation by 2\left(y+16\right), the least common multiple of y+16,2.

$$2x=y+16$$

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

$$y+16=2x$$

Subtract 16 from both sides.

$$y=2x-16$$

Variable y cannot be equal to -16.

$$y=2x-16\text{, }y\neq -16$$