Question

Question #87e7c

Answer 1

`x=18/13`
`y=(-28)/26`

Explanation:

`3x+2y=2` --------------------(1)
`2x-3y=6` --------------------(2)

`3x+2y=2` --------------------(1) `xx3`
`9x+6y=6` --------------------(3)

`2x-3y=6` --------------------(2) `xx2`
`4x-6y=12` -------------------(4)

`9x+6y=6` --------------------(3)
`4x-6y=12` -------------------(4) `3 +4`
`13x=18`
`x=18/13`

Substitute `x=18/13` in the equation (1)

`3xx18/13+2y=2`
`54/13+2y=2`
`2y = 2-54/13=(26-54)/13=(-28)/13`
`y=(-28)/13 xx1/2=(-28)/26`
`y=(-28)/26`