Solve {l}{2x+y=0}{y=1/2}

$$\left. \begin{array} { l } { 2 x + y = 0 } \\ { y = 1 / 2 } \end{array} \right.$$

Solve for x, y

$$x=-\frac{1}{4}=-0.25$$

$$y=\frac{1}{2}=0.5$$

Solution Steps

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

$$2x+\frac{1}{2}=0$$

Subtract \frac{1}{2} from both sides. Anything subtracted from zero gives its negation.

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

Divide both sides by 2.

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

Express \frac{-\frac{1}{2}}{2} as a single fraction.

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

Multiply 2 and 2 to get 4.

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

Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

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

The system is now solved.

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