Solve {l}{10=x+14}{y=2x+12}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 10 = x + 14 }\\ { y = 2 x + 12 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=4$$

Solution Steps

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

$$x+14=10$$

Subtract 14 from both sides.

$$x=10-14$$

Subtract 14 from 10 to get -4.

$$x=-4$$

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

$$y=2\left(-4\right)+12$$

Multiply 2 and -4 to get -8.

$$y=-8+12$$

Add -8 and 12 to get 4.

$$y=4$$

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

$$z=4$$

The system is now solved.

$$x=-4 y=4 z=4$$