Mathematics

Question

Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21? select each correct answer. (−1, −6) (7, 0) (11, 3) (−3, 3).

1 Answer

  • Answer:

    (-1, -6),  (7, 0) , and  (11, 3)

    Step-by-step explanation:

    3x - 4y = 21        Solve the equation for y

    3x - 21 = 4y      

    (3x - 21)/4 =  y  

    Now use the ordered pair and find the true ordered pair

      (-1, -6)     [ (3)(-1) - 21]/ 4 ;    (-3 -21)/4 ;  (-24)/4 = -6     True

       (7, 0)     [(3)(7) -21]/4 ; (21 - 21)/4;  0/4 = 0     True

       (11, 3)    [(3)(11) - 21]/4;  (33 - 21)/4; 12/4 = 3    True

        (-3 ,3)   [(3)(-3) - 21]/4  (-9 -21)/4 ; -30/4  = -7.5   No

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