Solve 4a+6b=64

$$4 a + 6 b = 64$$

Solve for a

$$a=-\frac{3b}{2}+16$$

Steps for Solving Linear Equation

Subtract 6b from both sides.

$$4a=64-6b$$

Divide both sides by 4.

$$\frac{4a}{4}=\frac{64-6b}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$a=\frac{64-6b}{4}$$

Divide 64-6b by 4.

$$a=-\frac{3b}{2}+16$$

Solve for b

$$b=\frac{32-2a}{3}$$

Steps for Solving Linear Equation

Subtract 4a from both sides.

$$6b=64-4a$$

Divide both sides by 6.

$$\frac{6b}{6}=\frac{64-4a}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$b=\frac{64-4a}{6}$$

Divide 64-4a by 6.

$$b=\frac{32-2a}{3}$$