Solve {l}{110x=5}{y=8+{(frac{3*{(5)}+2}{5})}}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 110 x = 5 }\\ { y = 8 + {(\frac{3 \cdot {(5)} + 2}{5})} }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z = \frac{57}{5} = 11\frac{2}{5} = 11.4$$

Solution Steps

Consider the first equation. Divide both sides by 110.

$$x=\frac{5}{110}$$

Reduce the fraction \frac{5}{110} to lowest terms by extracting and canceling out 5.

$$x=\frac{1}{22}$$

Consider the second equation. Multiply 3 and 5 to get 15.

$$y=8+\frac{15+2}{5}$$

Add 15 and 2 to get 17.

$$y=8+\frac{17}{5}$$

Add 8 and \frac{17}{5} to get \frac{57}{5}.

$$y=\frac{57}{5}$$

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

$$z=\frac{57}{5}$$

The system is now solved.

$$x=\frac{1}{22} y=\frac{57}{5} z=\frac{57}{5}$$