Solve {l}{0*5=1-47*64/x}{y=0}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 0 \cdot 5 = 1 - \frac{47 \cdot 64}{x} }\\ { y = 0 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=0$$

Solution Steps

Consider the first equation. Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$0\times 5x=x-47\times 64$$

Multiply 0 and 5 to get 0.

$$0x=x-47\times 64$$

Anything times zero gives zero.

$$0=x-47\times 64$$

Multiply -47 and 64 to get -3008.

$$0=x-3008$$

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

$$x-3008=0$$

Add 3008 to both sides. Anything plus zero gives itself.

$$x=3008$$

The system is now solved.

$$x=3008 y=0 z=0$$