Solve {l}{59y+6400=14000}{y=x-640}

$$\left\{ \begin{array} { l } { 59 y + 6400 = 14000 } \\ { y = x - 640 } \end{array} \right.$$

Solve for y, x

$$x = \frac{45360}{59} = 768\frac{48}{59} \approx 768.813559322$$

$$y = \frac{7600}{59} = 128\frac{48}{59} \approx 128.813559322$$

Solution Steps

Consider the first equation. Subtract 6400 from both sides.

$$59y=14000-6400$$

Subtract 6400 from 14000 to get 7600.

$$59y=7600$$

Divide both sides by 59.

$$y=\frac{7600}{59}$$

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

$$\frac{7600}{59}=x-640$$

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

$$x-640=\frac{7600}{59}$$

Add 640 to both sides.

$$x=\frac{7600}{59}+640$$

Add \frac{7600}{59} and 640 to get \frac{45360}{59}.

$$x=\frac{45360}{59}$$

The system is now solved.

$$y=\frac{7600}{59} x=\frac{45360}{59}$$