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

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

Solve for y, x

$$x=-3$$

$$y=1$$

Solution Steps

Consider the first equation. Combine 2y and y to get 3y.

$$3y=3$$

Divide both sides by 3.

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

Divide 3 by 3 to get 1.

$$y=1$$

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

$$x+2\times 1=-1$$

Multiply 2 and 1 to get 2.

$$x+2=-1$$

Subtract 2 from both sides.

$$x=-1-2$$

Subtract 2 from -1 to get -3.

$$x=-3$$

The system is now solved.

$$y=1 x=-3$$