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

$$\left\{ \begin{array} { l } { y = - \frac { 2 ( x + 1 ) - 1 } { 2 } } \\ { y = 0 } \end{array} \right.$$

Solve for y, x

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

$$y=0$$

Solution Steps

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

$$0=-\frac{2\left(x+1\right)-1}{2}$$

Multiply both sides of the equation by 2.

$$0=-\left(2\left(x+1\right)-1\right)$$

Use the distributive property to multiply 2 by x+1.

$$0=-\left(2x+2-1\right)$$

Subtract 1 from 2 to get 1.

$$0=-\left(2x+1\right)$$

To find the opposite of 2x+1, find the opposite of each term.

$$0=-2x-1$$

Swap sides so that all variable terms are on the left hand side.

$$-2x-1=0$$

Add 1 to both sides. Anything plus zero gives itself.

$$-2x=1$$

Divide both sides by -2.

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

The system is now solved.

$$y=0 x=-\frac{1}{2}$$