Solve 2x+5y=20+5x+2y

$$2x+5y = 20+5x+2y$$

Solve for x

$$x = -\frac{20}{3} = -6\frac{2}{3} = -6.666666666666667$$

Steps for Solving Linear Equation

Subtract 5x from both sides.

$$2x+5y-5x=20+2y$$

Combine 2x and -5x to get -3x.

$$-3x+5y=20+2y$$

Subtract 5y from both sides.

$$-3x=20+2y-5y$$

Combine 2y and -5y to get -3y.

$$-3x=20-3y$$

Divide both sides by -3.

$$\frac{-3x}{-3}=\frac{20-3y}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$x=\frac{20-3y}{-3}$$

Divide 20-3y by -3.

$$x=y-\frac{20}{3}$$

Solve for y

$$y = \frac{20}{3} = 6\frac{2}{3} = 6.666666666666667$$

Steps for Solving Linear Equation

Subtract 2y from both sides.

$$2x+5y-2y=20+5x$$

Combine 5y and -2y to get 3y.

$$2x+3y=20+5x$$

Subtract 2x from both sides.

$$3y=20+5x-2x$$

Combine 5x and -2x to get 3x.

$$3y=20+3x$$

The equation is in standard form.

$$3y=3x+20$$

Divide both sides by 3.

$$\frac{3y}{3}=\frac{3x+20}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$y=\frac{3x+20}{3}$$

Divide 20+3x by 3.

$$y=x+\frac{20}{3}$$