Solve 70x-30y=-210

$$70 x - 30 y = - 210$$

Solve for x

$$x=\frac{3\left(y-7\right)}{7}$$

Steps for Solving Linear Equation

Add 30y to both sides.

$$70x=-210+30y$$

The equation is in standard form.

$$70x=30y-210$$

Divide both sides by 70.

$$\frac{70x}{70}=\frac{30y-210}{70}$$

Dividing by 70 undoes the multiplication by 70.

$$x=\frac{30y-210}{70}$$

Divide -210+30y by 70.

$$x=\frac{3y}{7}-3$$

Solve for y

$$y=\frac{7\left(x+3\right)}{3}$$

Steps for Solving Linear Equation

Subtract 70x from both sides.

$$-30y=-210-70x$$

The equation is in standard form.

$$-30y=-70x-210$$

Divide both sides by -30.

$$\frac{-30y}{-30}=\frac{-70x-210}{-30}$$

Dividing by -30 undoes the multiplication by -30.

$$y=\frac{-70x-210}{-30}$$

Divide -210-70x by -30.

$$y=\frac{7x}{3}+7$$