# How do you solve the following system?: -x -2y =-1, 6x -4y = -4

Mar 11, 2018

$x = - \frac{1}{4}$, $y = \frac{5}{8}$

#### Explanation:

$- x - 2 y = - 1$ Eqn (1)

$6 x - 4 y = - 4$

$3 x - 2 y = - 2$ Eqn (2) (dividing both sides by 2).

Subtracting Eqn (1) from (2),

$3 x \cancel{- 2 y} + x + \cancel{2 y} = - 2 + 1$

$4 x = - 1$ or $x = - \frac{1}{4}$

Substituting value of x in Eqn (1),

$\frac{1}{4} - 2 y = - 1$

$2 y = \frac{5}{4}$ or $y = \frac{5}{8}$