Solve {l}{1.11*10^5*671-x=1/2*1.5*10^4*88*88}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 1.11 \cdot 10 ^ {5} \cdot 671 - x = \frac{1}{2} \cdot 1.5 \cdot 10 ^ {4} \cdot 88 \cdot 88 }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=16401000$$

Solution Steps

Consider the first equation. Calculate 10 to the power of 5 and get 100000.

$$1.11\times 100000\times 671-x=\frac{1}{2}\times 1.5\times 10^{4}\times 88\times 88$$

Multiply 1.11 and 100000 to get 111000.

$$111000\times 671-x=\frac{1}{2}\times 1.5\times 10^{4}\times 88\times 88$$

Multiply 111000 and 671 to get 74481000.

$$74481000-x=\frac{1}{2}\times 1.5\times 10^{4}\times 88\times 88$$

Multiply \frac{1}{2} and 1.5 to get \frac{3}{4}.

$$74481000-x=\frac{3}{4}\times 10^{4}\times 88\times 88$$

Calculate 10 to the power of 4 and get 10000.

$$74481000-x=\frac{3}{4}\times 10000\times 88\times 88$$

Multiply \frac{3}{4} and 10000 to get 7500.

$$74481000-x=7500\times 88\times 88$$

Multiply 7500 and 88 to get 660000.

$$74481000-x=660000\times 88$$

Multiply 660000 and 88 to get 58080000.

$$74481000-x=58080000$$

Subtract 74481000 from both sides.

$$-x=58080000-74481000$$

Subtract 74481000 from 58080000 to get -16401000.

$$-x=-16401000$$

Divide both sides by -1.

$$x=\frac{-16401000}{-1}$$

Fraction \frac{-16401000}{-1} can be simplified to 16401000 by removing the negative sign from both the numerator and the denominator.

$$x=16401000$$

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

$$y=16401000$$

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

$$z=16401000$$

The system is now solved.

$$x=16401000 y=16401000 z=16401000$$