Solve 2x+3y-20=3x+2y-25

$$2x+3y-20=3x+2y-25$$

Solve for x

$$x=y+5$$

Steps for Solving Linear Equation

Subtract 3x from both sides.

$$2x+3y-20-3x=2y-25$$

Combine 2x and -3x to get -x.

$$-x+3y-20=2y-25$$

Subtract 3y from both sides.

$$-x-20=2y-25-3y$$

Combine 2y and -3y to get -y.

$$-x-20=-y-25$$

Add 20 to both sides.

$$-x=-y-25+20$$

Add -25 and 20 to get -5.

$$-x=-y-5$$

Divide both sides by -1.

$$\frac{-x}{-1}=\frac{-y-5}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$x=\frac{-y-5}{-1}$$

Divide -y-5 by -1.

$$x=y+5$$

Solve for y

$$y=x-5$$

Solution Steps

Subtract 2y from both sides.

$$2x+3y-20-2y=3x-25$$

Combine 3y and -2y to get y.

$$2x+y-20=3x-25$$

Subtract 2x from both sides.

$$y-20=3x-25-2x$$

Combine 3x and -2x to get x.

$$y-20=x-25$$

Add 20 to both sides.

$$y=x-25+20$$

Add -25 and 20 to get -5.

$$y=x-5$$