Solve {l}{13x-3*75*0*0*0+2x+10x/10=1}{y=87500}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { \frac{13 x - 3 \cdot 75 \cdot 0 \cdot 0 \cdot 0 + 2 x + 10 x}{10} = 1 }\\ { y = 87500 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=87500$$

Solution Steps

Consider the first equation. Multiply both sides by 10.

$$13x-3\times 75\times 0\times 0\times 0+2x+10x=10$$

Multiply 3 and 75 to get 225.

$$13x-225\times 0\times 0\times 0+2x+10x=10$$

Multiply 225 and 0 to get 0.

$$13x-0\times 0\times 0+2x+10x=10$$

Multiply 0 and 0 to get 0.

$$13x-0\times 0+2x+10x=10$$

Multiply 0 and 0 to get 0.

$$13x-0+2x+10x=10$$

Combine 2x and 10x to get 12x.

$$13x-0+12x=10$$

Reorder the terms.

$$12x+13x=10$$

Combine 12x and 13x to get 25x.

$$25x=10$$

Divide both sides by 25.

$$x=\frac{10}{25}$$

Reduce the fraction \frac{10}{25} to lowest terms by extracting and canceling out 5.

$$x=\frac{2}{5}$$

The system is now solved.

$$x=\frac{2}{5} y=87500 z=87500$$