Solve 3a+2b=42

$$3 a + 2 b = 42$$

Solve for a

$$a=-\frac{2b}{3}+14$$

Steps for Solving Linear Equation

Subtract 2b from both sides.

$$3a=42-2b$$

Divide both sides by 3.

$$\frac{3a}{3}=\frac{42-2b}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$a=\frac{42-2b}{3}$$

Divide 42-2b by 3.

$$a=-\frac{2b}{3}+14$$

Solve for b

$$b=-\frac{3a}{2}+21$$

Steps for Solving Linear Equation

Subtract 3a from both sides.

$$2b=42-3a$$

Divide both sides by 2.

$$\frac{2b}{2}=\frac{42-3a}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$b=\frac{42-3a}{2}$$

Divide 42-3a by 2.

$$b=-\frac{3a}{2}+21$$