Solve {l}{2{(x+1)}=-3}{y={(x+6)}}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 2 {(x + 1)} = -3 }\\ { y = {(x + 6)} }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Solution Steps

Consider the first equation. Divide both sides by 2.

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

Subtract 1 from both sides.

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

Subtract 1 from -\frac{3}{2} to get -\frac{5}{2}.

$$x=-\frac{5}{2}$$

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

$$y=-\frac{5}{2}+6$$

Add -\frac{5}{2} and 6 to get \frac{7}{2}.

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

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

$$z=\frac{7}{2}$$

The system is now solved.

$$x=-\frac{5}{2} y=\frac{7}{2} z=\frac{7}{2}$$