Question

How do you solve the following system?: #21x +14y = 3 , -14x - 59y = -12#

Answer 1

`x=-351/623` and `y=30/89`

Explanation:

`2*(21x+14y)+3*(-14x-59y)=2*3+3*(-12)`

`42x+28y-42x-117y=6-36`

`-89y=-30`, so `y=(-30)/(-89)=30/89`

Hence,

`-14x-59*30/89=-12`

`-14x-1770/89=-12`

`-1246x-1770=-1068`

`-1246x=702`

`x=702/(-1246)=-351/623`