Solve y+300=25(x+100)

$$y+300=25(x+100)$$

Solve for x

$$x=\frac{y-2200}{25}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 25 by x+100.

$$y+300=25x+2500$$

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

$$25x+2500=y+300$$

Subtract 2500 from both sides.

$$25x=y+300-2500$$

Subtract 2500 from 300 to get -2200.

$$25x=y-2200$$

Divide both sides by 25.

$$\frac{25x}{25}=\frac{y-2200}{25}$$

Dividing by 25 undoes the multiplication by 25.

$$x=\frac{y-2200}{25}$$

Divide y-2200 by 25.

$$x=\frac{y}{25}-88$$

Solve for y

$$y=25\left(x+88\right)$$

Solution Steps

Use the distributive property to multiply 25 by x+100.

$$y+300=25x+2500$$

Subtract 300 from both sides.

$$y=25x+2500-300$$

Subtract 300 from 2500 to get 2200.

$$y=25x+2200$$