Question

Which of the ordered pairs in the form (x, y) is a solution of this equation? Three x minus begin fraction y over four end fraction equals eleven 3x-y/4=11 (3, –8), (4, 4)
a. The first is not a solution, but the second is.
b. Both are solutions.
c. The first is a solution, but the second is not.
d. Neither is a solution.

Answer 1

3x-(y/4)=11
subsitute
in (x,y) form
if (3,-8)
subsitute 3 for x and -8 for y
3(3)-(-8/4)=11
9-(-2)=11
9+2=11
11=11
(3,-8) is a valid soultion

try 4,4
subsittue 4 for x and 4 for y
3(4)-(4/4)=11
12-(1)=11
12-1=11
11=11
(4,4) is a valid solution

both are true so the answer choice is B, both are solutions