If P(x - 3) + Q(x + 1) = 2x + 3, find the value of (P + Q).
Answer Details
To find the value of (P + Q), we need to first expand the left-hand side of the equation using distributive property.
P(x - 3) + Q(x + 1) = Px - 3P + Qx + Q
Then we can simplify it by combining the like terms.
Px + Qx - 3P + Q + 2x + 3 = 0
Now, we can group the like terms together:
(P + Q)x - 3P + Q + 3 = 2x + 3
Since the coefficients of x on both sides of the equation are equal, we can equate the corresponding coefficients of x:
(P + Q) = 2
Therefore, the value of (P + Q) is 2.
So the correct answer is:
- 2