Verified Answer :

  1. solve for x in first to just find nterms of y

    x=12-y
    sub that for x in other one
    first divide that one by 2 to make it easier
    2x-y=18
    2(12-y)-y=18
    24-2y-y=18
    24-3y=18
    minus 24 both sides
    -3y=-6
    divide -3
    y=2

    D is answer




    2.
    find intersection of x+y=5 and -2x+3y=6
    or easiers, just test the intersections
    wait, they all intersect in the same place
    this is super easy
    pick ANY point that is in that reigon and see if it is true

    A, if we pick lets say (5,5)
    that is false for x+y<5
    not A

    B
    pick (10,0)
    false for first one
    not B

    C
    pick (0,0)
    true for first
    false for 2nd
    not C


    D. pick (-10,0)
    true for first
    true for 2nd


    answer is D


    answer is D for both questions