Which values of p and q result in an equation with exactly one solution? px -43= -42x+q. choose all answers that apply. a. p= 42 and q = 42. b. p= 43 and q = -42. c. p= -43 and q = -43. d. p = 42 and q= 43

All are valid

Step-by-step explanation:

Px - 43 = -42x + Q (rearrange)

x = (Q+43) / (P + 42)  <Substitute options for P & Q into this equation to see which combination gives exactly 1 solution for x

A) P=42, Q = 42; x = (42+43) / (42+42) = 1.011 (only 1 solution = valid)

B) P=43, Q = -42; x = (-42+43) / (43+42) = 0.012 (only 1 solution = valid)

C) P=-43, Q = -43; x = (-43+43) / (-43+42) = 0 (only 1 solution = valid)

D) P=42, Q = 43; x = (42+43) / (42+42) = 1.023 (only 1 solution = valid)