Solve {l}{+1/2x=3}{y+2x=-6}

$$\left. \begin{array} { l } { + \frac { 1 } { 2 } x = 3 } \\ { y + 2 x = - 6 } \end{array} \right.$$

Solve for x, y

$$x=6$$

$$y=-18$$

Solution Steps

Consider the first equation. Multiply both sides by 2, the reciprocal of \frac{1}{2}.

$$x=3\times 2$$

Multiply 3 and 2 to get 6.

$$x=6$$

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

$$y+2\times 6=-6$$

Multiply 2 and 6 to get 12.

$$y+12=-6$$

Subtract 12 from both sides.

$$y=-6-12$$

Subtract 12 from -6 to get -18.

$$y=-18$$

The system is now solved.

$$x=6 y=-18$$