Question

Solve the system. 23x - 12y = 1 - 43x +y =-3

Answer 1

The values are
`x=(35)/(493)` and

`y=(26)/(493)`

The solution is (
`(35)/(493),(26)/(493)`)

Explanation:

Given equations are
`23x-12y=1\hfill (1)`

`-43x+y=-3\hfill (2)`

To solve the given equations :

Multiply the equation (2) into 12 we get

`-516x+12y=-36\hfill (3)`Now adding equations (1) and (3) we get

23x-12y=1

-516x+12y=-36

____________

-493x=-35

`x=(35)/(493)`

Substitute the value of
`x=(35)/(493)` in equation (1) we get

`23* ((35)/(493))-12y=1`

`(805)/(493)-12y=1`

`-12y=1-(805)/(493)`

`-12y=(-312)/(493)`

`y=(26)/(493)`

Therefore the values are
`x=(35)/(493)` and

`y=(26)/(493)`

The solution is (
`(35)/(493),(26)/(493)`)