Solve {l}{-5/2x+8=0}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { -\frac{5}{2} x + 8 = 0 }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z = \frac{16}{5} = 3\frac{1}{5} = 3.2$$

Solution Steps

Consider the first equation. Subtract 8 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{5}{2}x=-8$$

Multiply both sides by -\frac{2}{5}, the reciprocal of -\frac{5}{2}.

$$x=-8\left(-\frac{2}{5}\right)$$

Multiply -8 and -\frac{2}{5} to get \frac{16}{5}.

$$x=\frac{16}{5}$$

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

$$y=\frac{16}{5}$$

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

$$z=\frac{16}{5}$$

The system is now solved.

$$x=\frac{16}{5} y=\frac{16}{5} z=\frac{16}{5}$$