Solve {l}{0*0*2x=1/3500x+2}{text{Solvefor}ytext{where}}{y=10-0}

$$\left. \begin{array} { l } { 0 \cdot 0 \cdot 2 x = \frac{1}{3500} x + 2 }\\ { \text{Solve for } y \text{ where} } \\ { y = 10 - 0 } \end{array} \right.$$

Solve for x, y

$$y=10$$

Solution Steps

Consider the first equation. Multiply 0 and 0 to get 0.

$$0\times 2x=\frac{1}{3500}x+2$$

Multiply 0 and 2 to get 0.

$$0x=\frac{1}{3500}x+2$$

Anything times zero gives zero.

$$0=\frac{1}{3500}x+2$$

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

$$\frac{1}{3500}x+2=0$$

Subtract 2 from both sides. Anything subtracted from zero gives its negation.

$$\frac{1}{3500}x=-2$$

Multiply both sides by 3500, the reciprocal of \frac{1}{3500}.

$$x=-2\times 3500$$

Multiply -2 and 3500 to get -7000.

$$x=-7000$$

Consider the second equation. Subtract 0 from 10 to get 10.

$$y=10$$

The system is now solved.

$$x=-7000 y=10$$