Solve 4b+100-a=2a

$$4 b + 100 - a = 2 a$$

Solve for a

$$a=\frac{4\left(b+25\right)}{3}$$

Steps for Solving Linear Equation

Subtract 2a from both sides.

$$4b+100-a-2a=0$$

Combine -a and -2a to get -3a.

$$4b+100-3a=0$$

Subtract 4b from both sides. Anything subtracted from zero gives its negation.

$$100-3a=-4b$$

Subtract 100 from both sides.

$$-3a=-4b-100$$

Divide both sides by -3.

$$\frac{-3a}{-3}=\frac{-4b-100}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$a=\frac{-4b-100}{-3}$$

Divide -4b-100 by -3.

$$a=\frac{4b+100}{3}$$

Solve for b

$$b=\frac{3a}{4}-25$$

Steps for Solving Linear Equation

Subtract 100 from both sides.

$$4b-a=2a-100$$

Add a to both sides.

$$4b=2a-100+a$$

Combine 2a and a to get 3a.

$$4b=3a-100$$

Divide both sides by 4.

$$\frac{4b}{4}=\frac{3a-100}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$b=\frac{3a-100}{4}$$

Divide 3a-100 by 4.

$$b=\frac{3a}{4}-25$$