Solve in Terms of the Arbitrary Variable x 4x-5y=1 -8x+10y=-2

$4 x - 5 y = 1$ $- 8 x + 10 y = - 2$

Step 1

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

$y = - \frac{1}{5} + \frac{4 x}{5}, y = - \frac{1}{5} + \frac{4 x}{5}$

Step 2

Simplify the right side.

Reorder $- \frac{1}{5}$ and $\frac{4 x}{5}$ .

$y = \frac{4 x}{5} - \frac{1}{5}$

$y = - \frac{1}{5} + \frac{4 x}{5}$

$y = \frac{4 x}{5} - \frac{1}{5}$

$y = - \frac{1}{5} + \frac{4 x}{5}$

Step 3

Simplify the right side.

Reorder $- \frac{1}{5}$ and $\frac{4 x}{5}$ .

$y = \frac{4 x}{5} - \frac{1}{5}$