Question

How do solve the following linear system?: `-7x+y=-19 , x-2y=8`?

Answer 1

`(19/7,-37/14)`

Explanation:

From the second equation, by adding `2y` to both sides of the equation, we get `x=2y+8`
By substituting this into the first equation, we get `-7(2y+8)+y=-19`
Here we can solve for y:
`-14y-56+y=-19`
`-13y=37`
`y=-37/13`
By substituting this value of `y` into the second equation to find `x`:
`x-2(-37/13)=8`
`x+74/13=8`
`x=8-74/13=(104-74)/13=30/13`
Thus we get the coordinate point `(30/13,-37/13)` as our answer.