Solve 40x=y/2-5/2

$$40 x = \frac { y } { 2 } - \frac { 5 } { 2 }$$

Solve for x

$$x=\frac{y-5}{80}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$80x=y-5$$

Divide both sides by 80.

$$\frac{80x}{80}=\frac{y-5}{80}$$

Dividing by 80 undoes the multiplication by 80.

$$x=\frac{y-5}{80}$$

Divide y-5 by 80.

$$x=\frac{y}{80}-\frac{1}{16}$$

Solve for y

$$y=80x+5$$

Solution Steps

Multiply both sides of the equation by 2.

$$80x=y-5$$

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

$$y-5=80x$$

Add 5 to both sides.

$$y=80x+5$$