High School

For which values of \( P \) and \( Q \) does the following equation have infinitely many solutions?

\[ Px + 76 = Qx + 76 \]

Choose all answers that apply:

A. \( P = -76 \) and \( Q = -76 \)

B. \( P = 76 \) and \( Q = -76 \)

C. \( P = -76 \) and \( Q = 76 \)

D. \( P = 76 \) and \( Q = 76 \)

Answer :

A and D are correct

A because:

(-76)x+76 = (-76)x+76

--> 0x=0x (same number means 'all solutions')

D because:

both sides will equal to 152x (76+76=152) :)

Other Questions