Solve 2x1+5x2=-3

$$2x1+5x2=-3$$

Solve for x_1

$$x_{1}=\frac{-5x_{2}-3}{2}$$

Steps for Solving Linear Equation

Subtract 5x_{2} from both sides.

$$2x_{1}=-3-5x_{2}$$

The equation is in standard form.

$$2x_{1}=-5x_{2}-3$$

Divide both sides by 2.

$$\frac{2x_{1}}{2}=\frac{-5x_{2}-3}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x_{1}=\frac{-5x_{2}-3}{2}$$

Solve for x_2

$$x_{2}=\frac{-2x_{1}-3}{5}$$

Steps for Solving Linear Equation

Subtract 2x_{1} from both sides.

$$5x_{2}=-3-2x_{1}$$

The equation is in standard form.

$$5x_{2}=-2x_{1}-3$$

Divide both sides by 5.

$$\frac{5x_{2}}{5}=\frac{-2x_{1}-3}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$x_{2}=\frac{-2x_{1}-3}{5}$$