Solve {l}{2x+y=3}{3y+y=7}

$$\left. \begin{array} { l } { 2 x + y = 3 } \\ { 3 y + y = 7 } \end{array} \right.$$

Solve for x, y

$$x=\frac{5}{8}=0.625$$

$$y = \frac{7}{4} = 1\frac{3}{4} = 1.75$$

Solution Steps

Consider the second equation. Combine 3y and y to get 4y.

$$4y=7$$

Divide both sides by 4.

$$y=\frac{7}{4}$$

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

$$2x+\frac{7}{4}=3$$

Subtract \frac{7}{4} from both sides.

$$2x=3-\frac{7}{4}$$

Subtract \frac{7}{4} from 3 to get \frac{5}{4}.

$$2x=\frac{5}{4}$$

Divide both sides by 2.

$$x=\frac{\frac{5}{4}}{2}$$

Express \frac{\frac{5}{4}}{2} as a single fraction.

$$x=\frac{5}{4\times 2}$$

Multiply 4 and 2 to get 8.

$$x=\frac{5}{8}$$

The system is now solved.

$$x=\frac{5}{8} y=\frac{7}{4}$$