Solve {l}{287div20=x}{xdivy=2}

$$\left. \begin{array} { l } { 287 \div 20 = x } \\ { x \div y = 2 } \end{array} \right.$$

Solve for x, y

$$x = \frac{287}{20} = 14\frac{7}{20} = 14.35$$

$$y = \frac{287}{40} = 7\frac{7}{40} = 7.175$$

Solution Steps

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

$$x=\frac{287}{20}$$

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

$$\frac{\frac{287}{20}}{y}=2$$

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

$$\frac{287}{20}=2y$$

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

$$2y=\frac{287}{20}$$

Divide both sides by 2.

$$y=\frac{\frac{287}{20}}{2}$$

Express \frac{\frac{287}{20}}{2} as a single fraction.

$$y=\frac{287}{20\times 2}$$

Multiply 20 and 2 to get 40.

$$y=\frac{287}{40}$$

The system is now solved.

$$x=\frac{287}{20} y=\frac{287}{40}$$