Solve 3y-1/2x-x=4,y=-1

$$3 y - \frac { 1 } { 2 } x - x = 4 , y = - 1$$

Solve for y, x

$$x = -\frac{14}{3} = -4\frac{2}{3} \approx -4.666666667$$

$$y=-1$$

Solution Steps

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

$$3\left(-1\right)-\frac{1}{2}x-x=4$$

Multiply 3 and -1 to get -3.

$$-3-\frac{1}{2}x-x=4$$

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

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

Add 3 to both sides.

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

Add 4 and 3 to get 7.

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

Multiply both sides by -\frac{2}{3}, the reciprocal of -\frac{3}{2}.

$$x=7\left(-\frac{2}{3}\right)$$

Multiply 7 and -\frac{2}{3} to get -\frac{14}{3}.

$$x=-\frac{14}{3}$$

The system is now solved.

$$y=-1 x=-\frac{14}{3}$$