Solve 2x_{1}-3x_{2}=-7

$$2 x _ { 1 } - 3 x _ { 2 } = - 7$$

Solve for x_1

$$x_{1}=\frac{3x_{2}-7}{2}$$

Steps for Solving Linear Equation

Add 3x_{2} to both sides.

$$2x_{1}=-7+3x_{2}$$

The equation is in standard form.

$$2x_{1}=3x_{2}-7$$

Divide both sides by 2.

$$\frac{2x_{1}}{2}=\frac{3x_{2}-7}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x_{1}=\frac{3x_{2}-7}{2}$$

Solve for x_2

$$x_{2}=\frac{2x_{1}+7}{3}$$

Steps for Solving Linear Equation

Subtract 2x_{1} from both sides.

$$-3x_{2}=-7-2x_{1}$$

The equation is in standard form.

$$-3x_{2}=-2x_{1}-7$$

Divide both sides by -3.

$$\frac{-3x_{2}}{-3}=\frac{-2x_{1}-7}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$x_{2}=\frac{-2x_{1}-7}{-3}$$

Divide -7-2x_{1} by -3.

$$x_{2}=\frac{2x_{1}+7}{3}$$