Solve for x x-3y=4 , x+2y=1

$x - 3 y = 4$ , $x + 2 y = 1$

Step 1

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

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

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

Step 2

Simplify the right side.

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

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

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

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

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

Step 3

Simplify the right side.

Reorder $\frac{1}{2}$ and $- \frac{x}{2}$ .

$y = - \frac{x}{2} + \frac{1}{2}$

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

$y = - \frac{x}{2} + \frac{1}{2}$

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