Solve {l}{5*+2y=3}{3x+y=2}

$$\left. \begin{array} { l } { 5 \times + 2 y = 3 } \\ { 3 x + y = 2 } \end{array} \right.$$

Solve for y, x

$$x=\frac{17}{30}\approx 0.566666667$$

$$y=\frac{3}{10}=0.3$$

Solution Steps

Consider the first equation. Multiply 5 and 2 to get 10.

$$10y=3$$

Divide both sides by 10.

$$y=\frac{3}{10}$$

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

$$3x+\frac{3}{10}=2$$

Subtract \frac{3}{10} from both sides.

$$3x=2-\frac{3}{10}$$

Subtract \frac{3}{10} from 2 to get \frac{17}{10}.

$$3x=\frac{17}{10}$$

Divide both sides by 3.

$$x=\frac{\frac{17}{10}}{3}$$

Express \frac{\frac{17}{10}}{3} as a single fraction.

$$x=\frac{17}{10\times 3}$$

Multiply 10 and 3 to get 30.

$$x=\frac{17}{30}$$

The system is now solved.

$$y=\frac{3}{10} x=\frac{17}{30}$$