Solve 3x-2y=123

$$3 x - 2 y = 123$$

Solve for x

$$x=\frac{2y}{3}+41$$

Steps for Solving Linear Equation

Add 2y to both sides.

$$3x=123+2y$$

The equation is in standard form.

$$3x=2y+123$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{2y+123}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{2y+123}{3}$$

Divide 123+2y by 3.

$$x=\frac{2y}{3}+41$$

Solve for y

$$y=\frac{3\left(x-41\right)}{2}$$

Steps for Solving Linear Equation

Subtract 3x from both sides.

$$-2y=123-3x$$

Divide both sides by -2.

$$\frac{-2y}{-2}=\frac{123-3x}{-2}$$

Dividing by -2 undoes the multiplication by -2.

$$y=\frac{123-3x}{-2}$$

Divide 123-3x by -2.

$$y=\frac{3x-123}{2}$$