Question

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

Answer 1

Answer:

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

Answer:

C. Q=−31, P = -2