Solve {l}{-x-x=1}{-x+2y=7}

$$\left\{ \begin{array} { l } { - x - x = 1 } \\ { - x + 2 y = 7 } \end{array} \right.$$

Solve for x, y

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

$$y = \frac{13}{4} = 3\frac{1}{4} = 3.25$$

Solution Steps

Consider the first equation. Combine -x and -x to get -2x.

$$-2x=1$$

Divide both sides by -2.

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

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

$$-\left(-\frac{1}{2}\right)+2y=7$$

The opposite of -\frac{1}{2} is \frac{1}{2}.

$$\frac{1}{2}+2y=7$$

Subtract \frac{1}{2} from both sides.

$$2y=7-\frac{1}{2}$$

Subtract \frac{1}{2} from 7 to get \frac{13}{2}.

$$2y=\frac{13}{2}$$

Divide both sides by 2.

$$y=\frac{\frac{13}{2}}{2}$$

Express \frac{\frac{13}{2}}{2} as a single fraction.

$$y=\frac{13}{2\times 2}$$

Multiply 2 and 2 to get 4.

$$y=\frac{13}{4}$$

The system is now solved.

$$x=-\frac{1}{2} y=\frac{13}{4}$$