Question

I need help. See picture: "Number of solutions to equations challenge"

Answer 1

Answer:

D. P = 15 and Q = 15

Step-by-step explanation:

Put the values of P and Q to the equation Px - 45 = Qx + 75:

15x - 45 = 15x + 75     subtract 15x from both sides

-45 = 75   FALSE

In other cases, we get some value x.

Example:

A. P = -45 and Q = -75

-45x - 45 = -75x + 75     add 45 to both sides

-45x = -75x + 120      add 75x to both sides

25x = 120       divide both sides by 25

x = 4.8