Solve 108=19100a+11b

$$108 = 19100 a + 11 b$$

Solve for a

$$a=-\frac{11b}{19100}+\frac{27}{4775}$$

Steps for Solving Linear Equation

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

$$19100a+11b=108$$

Subtract 11b from both sides.

$$19100a=108-11b$$

Divide both sides by 19100.

$$\frac{19100a}{19100}=\frac{108-11b}{19100}$$

Dividing by 19100 undoes the multiplication by 19100.

$$a=\frac{108-11b}{19100}$$

Divide 108-11b by 19100.

$$a=-\frac{11b}{19100}+\frac{27}{4775}$$

Solve for b

$$b=\frac{108-19100a}{11}$$

Steps for Solving Linear Equation

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

$$19100a+11b=108$$

Subtract 19100a from both sides.

$$11b=108-19100a$$

Divide both sides by 11.

$$\frac{11b}{11}=\frac{108-19100a}{11}$$

Dividing by 11 undoes the multiplication by 11.

$$b=\frac{108-19100a}{11}$$