Solve 52=4a+2b

$$52 = 4 a + 2 b$$

Solve for a

$$a=-\frac{b}{2}+13$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$4a+2b=52$$

Subtract 2b from both sides.

$$4a=52-2b$$

Divide both sides by 4.

$$\frac{4a}{4}=\frac{52-2b}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$a=\frac{52-2b}{4}$$

Divide 52-2b by 4.

$$a=-\frac{b}{2}+13$$

Solve for b

$$b=26-2a$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$4a+2b=52$$

Subtract 4a from both sides.

$$2b=52-4a$$

Divide both sides by 2.

$$\frac{2b}{2}=\frac{52-4a}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$b=\frac{52-4a}{2}$$

Divide 52-4a by 2.

$$b=26-2a$$