Solve y+300=2.5(x+100)

$$y+300=2.5(x+100)$$

Solve for x

$$x=\frac{2y}{5}+20$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2.5 by x+100.

$$y+300=2.5x+250$$

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

$$2.5x+250=y+300$$

Subtract 250 from both sides.

$$2.5x=y+300-250$$

Subtract 250 from 300 to get 50.

$$2.5x=y+50$$

Divide both sides of the equation by 2.5, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{2.5x}{2.5}=\frac{y+50}{2.5}$$

Dividing by 2.5 undoes the multiplication by 2.5.

$$x=\frac{y+50}{2.5}$$

Divide y+50 by 2.5 by multiplying y+50 by the reciprocal of 2.5.

$$x=\frac{2y}{5}+20$$

Solve for y

$$y=\frac{5x}{2}-50$$

Solution Steps

Use the distributive property to multiply 2.5 by x+100.

$$y+300=2.5x+250$$

Subtract 300 from both sides.

$$y=2.5x+250-300$$

Subtract 300 from 250 to get -50.

$$y=2.5x-50$$