Question

-16y=22+6x -11y-4x=15

Answer 1

(I)
`-16y = 22 + 6x`

(II)
`-11y -4x = 15`

Get x alone in equation (I)

`-16y = 22 + 6x\\6x = -16y - 22\\x = -(16y)/(6) - (22)/(6)\\x = - (8y)/(3) - (11)/(3)`

Insert in equation (II)

`-11y - 4(-(8y)/(3) - (11)/(3)) = 15\\-11y + (32y)/(3) + (44)/(3) = 15\\-11y \cdot 3 + (32y)/(3) \cdot 3 + (44)/(3) \cdot 3 = 15 \cdot 3\\-33y + 32y + 44 = 45\\-33y + 32y = 45 - 44\\-y = 1\\y = -1`

Insert
`y = -1` in equation (I)

`x = -(8 \cdot (-1))/(3) - (11)/(3)\\x = (8)/(3) - (11)/(3)\\x = -1`