Question

How do you find the solution of the system of equations `x+2y=3` and `3x-y= -5`?

Answer 1

Given the equations:
`"[1] "x+2y=3`
`"[2] "3x-y=-5`

`"[3] = [2] "xx":"`
`" "6x-2y=-10`

`"[4] = [1] + [3]:"`
`" "7x = -7`
#" " rarr x = -1

Substituting `x=-1` in `"[1]"`
`(-1)+2y=3`
`" " rarr y =2`

So the solution for the given equations is
`(x,y) = (-1,2)`