Solve 10a+6c=222

$$10 a + 6 c = 222$$

Solve for a

$$a=\frac{111-3c}{5}$$

Steps for Solving Linear Equation

Subtract 6c from both sides.

$$10a=222-6c$$

Divide both sides by 10.

$$\frac{10a}{10}=\frac{222-6c}{10}$$

Dividing by 10 undoes the multiplication by 10.

$$a=\frac{222-6c}{10}$$

Divide 222-6c by 10.

$$a=\frac{111-3c}{5}$$

Solve for c

$$c=-\frac{5a}{3}+37$$

Steps for Solving Linear Equation

Subtract 10a from both sides.

$$6c=222-10a$$

Divide both sides by 6.

$$\frac{6c}{6}=\frac{222-10a}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$c=\frac{222-10a}{6}$$

Divide 222-10a by 6.

$$c=-\frac{5a}{3}+37$$