# How do you solve the system of equations 8x-5y = -17 and -2x + y = 6?

Jan 28, 2016

$x = - \frac{13}{2} \text{ } y = - 7$

#### Explanation:

You have
1. " " 8x−5y =−17
2.  −2x+y= " "6  Multiple this function by 4 and add to the two functions
3. " " 8x−5y =−17
4.  −8x+4y= " "24
$- - - - - - - -$
5. " " 0−y = 7; y = -7 insert the value of y to any equation, let's use 2:

" " -2x - 7 = 6; x = -13/2

You can use a Matrix equation...