Solve 144*a/b=1300

$$\frac { 144 \times a } { b } = 1300$$

Solve for a

$$a=\frac{325b}{36}$$

$$b\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by b.

$$144a=1300b$$

Divide both sides by 144.

$$\frac{144a}{144}=\frac{1300b}{144}$$

Dividing by 144 undoes the multiplication by 144.

$$a=\frac{1300b}{144}$$

Divide 1300b by 144.

$$a=\frac{325b}{36}$$

Solve for b

$$b=\frac{36a}{325}$$

$$a\neq 0$$

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 b.

$$144a=1300b$$

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

$$1300b=144a$$

Divide both sides by 1300.

$$\frac{1300b}{1300}=\frac{144a}{1300}$$

Dividing by 1300 undoes the multiplication by 1300.

$$b=\frac{144a}{1300}$$

Divide 144a by 1300.

$$b=\frac{36a}{325}$$

Variable b cannot be equal to 0.

$$b=\frac{36a}{325}\text{, }b\neq 0$$