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).

Answer 1

(-1, -6), (7, 0) , and (11, 3)

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