Solve y=5/2x+4

$$y = \frac { 5 } { 2 x + 4 }$$

Solve for x

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

$$y\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by 2\left(x+2\right).

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

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

$$2yx+2y\times 2=5$$

Multiply 2 and 2 to get 4.

$$2yx+4y=5$$

Subtract 4y from both sides.

$$2yx=5-4y$$

Divide both sides by 2y.

$$\frac{2yx}{2y}=\frac{5-4y}{2y}$$

Dividing by 2y undoes the multiplication by 2y.

$$x=\frac{5-4y}{2y}$$

Divide 5-4y by 2y.

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

Variable x cannot be equal to -2.

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

Solve for y

$$y=\frac{5}{2\left(x+2\right)}$$

$$x\neq -2$$