# How do you solve the system : -2x+5y=-3, -4x+10y=6 ?

Mar 23, 2018

There are no real solutions.

#### Explanation:

$5 y = 2 x - 3$
$y = \frac{2}{5} x - \frac{3}{5}$ solve for y in terms of x
$- 4 x + 10 \left(\frac{2}{5} x - \frac{3}{5}\right) = 6$ plug into other equation
$- 4 x + \frac{20}{5} x - \frac{30}{5} = 6$ distribute
$- 4 x + 4 x - 6 = 6$
$0 = 12$
The above statement is false, so there are no real solutions.