Solve {l}{x+6=y}{2y+8=7}

$$\left\{ \begin{array} { l } { x + 6 = y } \\ { 2 y + 8 = 7 } \end{array} \right.$$

Solve for x, y

$$x = -\frac{13}{2} = -6\frac{1}{2} = -6.5$$

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

Solution Steps

Consider the second equation. Subtract 8 from both sides.

$$2y=7-8$$

Subtract 8 from 7 to get -1.

$$2y=-1$$

Divide both sides by 2.

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

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

$$x+6=-\frac{1}{2}$$

Subtract 6 from both sides.

$$x=-\frac{1}{2}-6$$

Subtract 6 from -\frac{1}{2} to get -\frac{13}{2}.

$$x=-\frac{13}{2}$$

The system is now solved.

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