Solve a/4-b/5=4

$$\frac { a } { 4 } - \frac { b } { 5 } = 4$$

Solve for a

$$a=\frac{4\left(b+20\right)}{5}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 4,5.

$$5a-4b=80$$

Add 4b to both sides.

$$5a=80+4b$$

The equation is in standard form.

$$5a=4b+80$$

Divide both sides by 5.

$$\frac{5a}{5}=\frac{4b+80}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$a=\frac{4b+80}{5}$$

Divide 80+4b by 5.

$$a=\frac{4b}{5}+16$$

Solve for b

$$b=\frac{5\left(a-16\right)}{4}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 20, the least common multiple of 4,5.

$$5a-4b=80$$

Subtract 5a from both sides.

$$-4b=80-5a$$

Divide both sides by -4.

$$\frac{-4b}{-4}=\frac{80-5a}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$b=\frac{80-5a}{-4}$$

Divide 80-5a by -4.

$$b=\frac{5a}{4}-20$$