Solve {l}{25{(x+2)}=10625*x}{y=4}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 25 {(x + 2)} = 10625 \cdot x }\\ { y = 4 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=4$$

Solution Steps

Consider the first equation. Use the distributive property to multiply 25 by x+2.

$$25x+50=10625x$$

Subtract 10625x from both sides.

$$25x+50-10625x=0$$

Combine 25x and -10625x to get -10600x.

$$-10600x+50=0$$

Subtract 50 from both sides. Anything subtracted from zero gives its negation.

$$-10600x=-50$$

Divide both sides by -10600.

$$x=\frac{-50}{-10600}$$

Reduce the fraction \frac{-50}{-10600} to lowest terms by extracting and canceling out -50.

$$x=\frac{1}{212}$$

The system is now solved.

$$x=\frac{1}{212} y=4 z=4$$