Solve 3x+2y=4+x

$$3 x + 2 y = 4 + x$$

Solve for x

$$x=2-y$$

Steps for Solving Linear Equation

Subtract x from both sides.

$$3x+2y-x=4$$

Combine 3x and -x to get 2x.

$$2x+2y=4$$

Subtract 2y from both sides.

$$2x=4-2y$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{4-2y}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{4-2y}{2}$$

Divide 4-2y by 2.

$$x=2-y$$

Solve for y

$$y=2-x$$

Steps for Solving Linear Equation

Subtract 3x from both sides.

$$2y=4+x-3x$$

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

$$2y=4-2x$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{4-2x}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{4-2x}{2}$$

Divide 4-2x by 2.

$$y=2-x$$