Solve {l}{-x/2=3x}{text{Solvefor}ytext{where}}{y=-3+2x/4}

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

Solve for x, y

$$y=-\frac{3}{4}=-0.75$$

Solution Steps

Consider the first equation. Multiply both sides of the equation by 2.

$$-x=6x$$

Subtract 6x from both sides.

$$-x-6x=0$$

Combine -x and -6x to get -7x.

$$-7x=0$$

Divide both sides by -7. Zero divided by any non-zero number gives zero.

$$x=0$$

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

$$y=-\frac{3+2\times 0}{4}$$

Multiply 2 and 0 to get 0.

$$y=-\frac{3+0}{4}$$

Add 3 and 0 to get 3.

$$y=-\frac{3}{4}$$

The system is now solved.

$$x=0 y=-\frac{3}{4}$$