Solve x-5a/4b=1

$$\frac { x - 5 a } { 4 b } = 1$$

Solve for a

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

$$b\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4b.

$$x-5a=4b$$

Subtract x from both sides.

$$-5a=4b-x$$

Divide both sides by -5.

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

Dividing by -5 undoes the multiplication by -5.

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

Divide 4b-x by -5.

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

Solve for b

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

$$x\neq 5a$$

Steps for Solving Linear Equation

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4b.

$$x-5a=4b$$

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

$$4b=x-5a$$

Divide both sides by 4.

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

Dividing by 4 undoes the multiplication by 4.

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

Variable b cannot be equal to 0.

$$b=\frac{x-5a}{4}\text{, }b\neq 0$$