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

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

Solve for x, y, z

$$z=3$$

Solution Steps

Consider the first equation. Multiply both sides by 2.

$$2\left(3+x\right)=6\times 2$$

Cancel out 2 on both sides.

$$3+x=6$$

Subtract 3 from both sides.

$$x=6-3$$

Subtract 3 from 6 to get 3.

$$x=3$$

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

$$y=3$$

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

$$z=3$$

The system is now solved.

$$x=3 y=3 z=3$$