Which values of p and q result in an equation with exactly one solution?
2x+q=px−31

a. q=−2 and p=2
b. q=31 and p=2
c. q=−31q, equals, minus, 31 and p=-2p=−2p, equals, minus,
d. q=-31 and p=2

C. Q=−31, P = -2

Step-by-step explanation:

2x+Q = Px−31

A. Q = −2 and P=2

2x+Q=Px−31

2x - 2 =2x - 31

0x = -29

0 ≠ -29 : NO SOLUTION

B.Q=31 and P=2

2x+Q=Px−31

2x + 31 = 2x - 31

0x = -62

0 ≠ -62 : NO SOLUTION

C. Q=−31, P = -2

2x+Q=Px−31

2x - 31 = -2x - 31

4x = 0

 x = 0 : ONE SOLUTION

D. Q=-31 and P=2

2x+Q=Px−31

2x - 31 = 2x - 31

0x = 0

0 = 0: Infinitely many solutions

C. Q=−31, P = -2

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.

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step-by-step explanation: