Question

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

Answer 1

All are valid

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)