Solve for x x+3y=2 4x-3y=23

$x + 3 y = 2$ $4 x - 3 y = 23$

Step 1

The simplified system is the arbitrary solution of the original system of equations.

$y = \frac{2}{3} - \frac{x}{3}$

$y = - \frac{23}{3} + \frac{4 x}{3}$

Step 2

Simplify the right side.

Reorder $\frac{2}{3}$ and $- \frac{x}{3}$ .

$y = - \frac{x}{3} + \frac{2}{3}$

$y = - \frac{23}{3} + \frac{4 x}{3}$

$y = - \frac{x}{3} + \frac{2}{3}$

$y = - \frac{23}{3} + \frac{4 x}{3}$

Step 3

Simplify the right side.

Reorder $- \frac{23}{3}$ and $\frac{4 x}{3}$ .

$y = \frac{4 x}{3} - \frac{23}{3}$

$y = - \frac{x}{3} + \frac{2}{3}$

$y = \frac{4 x}{3} - \frac{23}{3}$

$y = - \frac{x}{3} + \frac{2}{3}$