Solve {l}{2x+y=0}{3x+2=1}

$$\left. \begin{array} { l } { 2 x + y = 0 } \\ { 3 x + 2 = 1 } \end{array} \right.$$

Solve for x, y

$$x=-\frac{1}{3}\approx -0.333333333$$

$$y=\frac{2}{3}\approx 0.666666667$$

Solution Steps

Consider the second equation. Subtract 2 from both sides.

$$3x=1-2$$

Subtract 2 from 1 to get -1.

$$3x=-1$$

Divide both sides by 3.

$$x=-\frac{1}{3}$$

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

$$2\left(-\frac{1}{3}\right)+y=0$$

Multiply 2 and -\frac{1}{3} to get -\frac{2}{3}.

$$-\frac{2}{3}+y=0$$

Add \frac{2}{3} to both sides. Anything plus zero gives itself.

$$y=\frac{2}{3}$$

The system is now solved.

$$x=-\frac{1}{3} y=\frac{2}{3}$$