Solve {l}{x/3+4/2=-1}{2x-y=4}

$$\left\{ \begin{array} { l } { \frac { x } { 3 } + \frac { 4 } { 2 } = - 1 } \\ { 2 x - y = 4 } \end{array} \right.$$

Solve for x, y

$$x=-9$$

$$y=-22$$

Solution Steps

Consider the first equation. Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$2x+3\times 4=-6$$

Multiply 3 and 4 to get 12.

$$2x+12=-6$$

Subtract 12 from both sides.

$$2x=-6-12$$

Subtract 12 from -6 to get -18.

$$2x=-18$$

Divide both sides by 2.

$$x=\frac{-18}{2}$$

Divide -18 by 2 to get -9.

$$x=-9$$

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

$$2\left(-9\right)-y=4$$

Multiply 2 and -9 to get -18.

$$-18-y=4$$

Add 18 to both sides.

$$-y=4+18$$

Add 4 and 18 to get 22.

$$-y=22$$

Divide both sides by -1.

$$y=-22$$

The system is now solved.

$$x=-9 y=-22$$