# How do solve the following linear system?:  -4x-2y=14 , -4x-15y=-1 ?

Apr 6, 2018

Arrange the equation and get your solution

#### Explanation:

Multiply the first equation by -1:

$4 x + 2 y = - 14$
The second equation is the same:
$- 4 x - 15 y = - 1$

Now combine these

$2 y - 15 y = - 14 - 1$

$- 13 y = - 15$

$y = \frac{15}{13}$

Put this value in any equation (I used the first one):
$- 4 x - \frac{30}{13} = 14$

$- 4 x = 14 + \frac{30}{13}$

$- 4 x = \frac{182 + 30}{13}$

$- 4 x = \frac{212}{13}$

$x = - \frac{53}{13}$