Solve {l}{15=41750*0*0*45+93*{(x-4/750)}}{y=x*0}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 15 = 41750 \cdot 0 \cdot 0 \cdot 45 + 93 \cdot {(x - \frac{4}{750})} }\\ { y = x \cdot 0 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=0$$

Solution Steps

Consider the first equation. Multiply 41750 and 0 to get 0.

$$15=0\times 0\times 45+93\left(x-\frac{4}{750}\right)$$

Multiply 0 and 0 to get 0.

$$15=0\times 45+93\left(x-\frac{4}{750}\right)$$

Multiply 0 and 45 to get 0.

$$15=0+93\left(x-\frac{4}{750}\right)$$

Reduce the fraction \frac{4}{750} to lowest terms by extracting and canceling out 2.

$$15=0+93\left(x-\frac{2}{375}\right)$$

Use the distributive property to multiply 93 by x-\frac{2}{375}.

$$15=0+93x-\frac{62}{125}$$

Subtract \frac{62}{125} from 0 to get -\frac{62}{125}.

$$15=-\frac{62}{125}+93x$$

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

$$-\frac{62}{125}+93x=15$$

Add \frac{62}{125} to both sides.

$$93x=15+\frac{62}{125}$$

Add 15 and \frac{62}{125} to get \frac{1937}{125}.

$$93x=\frac{1937}{125}$$

Divide both sides by 93.

$$x=\frac{\frac{1937}{125}}{93}$$

Express \frac{\frac{1937}{125}}{93} as a single fraction.

$$x=\frac{1937}{125\times 93}$$

Multiply 125 and 93 to get 11625.

$$x=\frac{1937}{11625}$$

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

$$y=\frac{1937}{11625}\times 0$$

Multiply \frac{1937}{11625} and 0 to get 0.

$$y=0$$

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

$$z=0$$

The system is now solved.

$$x=\frac{1937}{11625} y=0 z=0$$