Solve 22x-45=2y-5

$$22x-45=2y-5$$

Solve for x

$$x=\frac{y+20}{11}$$

Steps for Solving Linear Equation

Add 45 to both sides.

$$22x=2y-5+45$$

Add -5 and 45 to get 40.

$$22x=2y+40$$

Divide both sides by 22.

$$\frac{22x}{22}=\frac{2y+40}{22}$$

Dividing by 22 undoes the multiplication by 22.

$$x=\frac{2y+40}{22}$$

Divide 40+2y by 22.

$$x=\frac{y+20}{11}$$

Solve for y

$$y=11x-20$$

Steps for Solving Linear Equation

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

$$2y-5=22x-45$$

Add 5 to both sides.

$$2y=22x-45+5$$

Add -45 and 5 to get -40.

$$2y=22x-40$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{22x-40}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{22x-40}{2}$$

Divide 22x-40 by 2.

$$y=11x-20$$