Solve Q=8:15text{and}Q:R=3

$$Q = 8 : 15 \text { and } Q : R = 3$$

Solve for Q, R

$$Q=\frac{8}{15}\approx 0.533333333$$

$$R=\frac{8}{45}\approx 0.177777778$$

Solution Steps

Consider the second equation. Insert the known values of variables into the equation.

$$\frac{\frac{8}{15}}{R}=3$$

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

$$\frac{8}{15}=3R$$

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

$$3R=\frac{8}{15}$$

Divide both sides by 3.

$$R=\frac{\frac{8}{15}}{3}$$

Express \frac{\frac{8}{15}}{3} as a single fraction.

$$R=\frac{8}{15\times 3}$$

Multiply 15 and 3 to get 45.

$$R=\frac{8}{45}$$

The system is now solved.

$$Q=\frac{8}{15} R=\frac{8}{45}$$