Solve y=1/2x+5

$$y = \frac { 1 } { 2 x + 5 }$$

Solve for x

$$x=-\frac{5}{2}+\frac{1}{2y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to -\frac{5}{2} since division by zero is not defined. Multiply both sides of the equation by 2x+5.

$$y\left(2x+5\right)=1$$

Use the distributive property to multiply y by 2x+5.

$$2yx+5y=1$$

Subtract 5y from both sides.

$$2yx=1-5y$$

Divide both sides by 2y.

$$\frac{2yx}{2y}=\frac{1-5y}{2y}$$

Dividing by 2y undoes the multiplication by 2y.

$$x=\frac{1-5y}{2y}$$

Divide 1-5y by 2y.

$$x=-\frac{5}{2}+\frac{1}{2y}$$

Variable x cannot be equal to -\frac{5}{2}.

$$x=-\frac{5}{2}+\frac{1}{2y}\text{, }x\neq -\frac{5}{2}$$

Solve for y

$$y=\frac{1}{2x+5}$$

$$x\neq -\frac{5}{2}$$