# How do you solve the following system?:  x + 2y = 6 , 7x -11 = -6y

May 24, 2018

$x = - \frac{7}{4} , y = \frac{31}{8}$

#### Explanation:

writing your System in the form
$x + 2 y = 6$
$7 x + 6 y = 11$
multiplying the first equation by b$- 3$ and adding to the second:
$4 x = - 7$ so $x = - \frac{7}{4}$ plugging this in the first equation:
$- \frac{7}{4} + 2 y = 6$
so
$2 y = 6 + \frac{7}{4} = \frac{31}{4}$
$y = \frac{31}{8}$