Solve {l}{2*504*{(x-20)}=10068}{y=4}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 2 \cdot 504 \cdot {(x - 20)} = 10068 }\\ { y = 4 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=4$$

Solution Steps

Consider the first equation. Multiply 2 and 504 to get 1008.

$$1008\left(x-20\right)=10068$$

Use the distributive property to multiply 1008 by x-20.

$$1008x-20160=10068$$

Add 20160 to both sides.

$$1008x=10068+20160$$

Add 10068 and 20160 to get 30228.

$$1008x=30228$$

Divide both sides by 1008.

$$x=\frac{30228}{1008}$$

Reduce the fraction \frac{30228}{1008} to lowest terms by extracting and canceling out 12.

$$x=\frac{2519}{84}$$

The system is now solved.

$$x=\frac{2519}{84} y=4 z=4$$