Solve {l}{-2x=1}{4x-3y=0}

$$\left. \begin{array}{l}{ - 2 x = 1 }\\{ 4 x - 3 y = 0 }\end{array} \right.$$

Solve for x, y

$$x=-\frac{1}{2}=-0.5$$

$$y=-\frac{2}{3}\approx -0.666666667$$

Solution Steps

Consider the first equation. Divide both sides by -2.

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

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

$$4\left(-\frac{1}{2}\right)-3y=0$$

Multiply 4 and -\frac{1}{2} to get -2.

$$-2-3y=0$$

Add 2 to both sides. Anything plus zero gives itself.

$$-3y=2$$

Divide both sides by -3.

$$y=-\frac{2}{3}$$

The system is now solved.

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