Solve {l}{4/2*4=16*2/x}{y=5}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { \frac{4}{2} \cdot 4 = 16 \cdot 2 / x }\\ { y = 5 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=5$$

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 2x, the least common multiple of 2,x.

$$x\times 4\times 4=2\times 16\times 2$$

Multiply 4 and 4 to get 16.

$$x\times 16=2\times 16\times 2$$

Multiply 2 and 16 to get 32.

$$x\times 16=32\times 2$$

Multiply 32 and 2 to get 64.

$$x\times 16=64$$

Divide both sides by 16.

$$x=\frac{64}{16}$$

Divide 64 by 16 to get 4.

$$x=4$$

The system is now solved.

$$x=4 y=5 z=5$$