Solve {l}{109^2-9^2=100x}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 109 ^ {2} - 9 ^ {2} = 100 x }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=118$$

Solution Steps

Consider the first equation. Calculate 109 to the power of 2 and get 11881.

$$11881-9^{2}=100x$$

Calculate 9 to the power of 2 and get 81.

$$11881-81=100x$$

Subtract 81 from 11881 to get 11800.

$$11800=100x$$

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

$$100x=11800$$

Divide both sides by 100.

$$x=\frac{11800}{100}$$

Divide 11800 by 100 to get 118.

$$x=118$$

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

$$y=118$$

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

$$z=118$$

The system is now solved.

$$x=118 y=118 z=118$$