Question

Solve for P:

3(P−L)=6L

A) P=4L
B) P=3L+2
C)P=2L+3
D) P=2L

Answer 1

To solve 3(P-L) = 6L for P, distribute the 3, combine like terms, and divide by 3 to isolate P, which results in P = 3L, answer B.

Step-by-step explanation:

The student is asking to solve the algebraic equation 3(P-L) = 6L for P. To find the value of P, we first distribute the 3 into the parentheses:

3P - 3L = 6L

Next, add 3L to both sides to get all terms containing P on one side and the terms containing L on the other side:

3P = 6L + 3L

Combine like terms:

3P = 9L

Now, divide by 3 to solve for P:

P = 3L

Therefore, the correct answer is B) P = 3L.