Solve {l}{4x=2}{5y=x}

$$\left. \begin{array} { l } { 4 x = 2 } \\ { 5 y = x } \end{array} \right.$$

Solve for x, y

$$x=\frac{1}{2}=0.5$$

$$y=\frac{1}{10}=0.1$$

Solution Steps

Consider the first equation. Divide both sides by 4.

$$x=\frac{2}{4}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$x=\frac{1}{2}$$

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

$$5y=\frac{1}{2}$$

Divide both sides by 5.

$$y=\frac{\frac{1}{2}}{5}$$

Express \frac{\frac{1}{2}}{5} as a single fraction.

$$y=\frac{1}{2\times 5}$$

Multiply 2 and 5 to get 10.

$$y=\frac{1}{10}$$

The system is now solved.

$$x=\frac{1}{2} y=\frac{1}{10}$$