3Q + 4T = 26. P=2T=3Q l. What is 6P?

The answer is 52 but I don't understand how they got this answer

see explanation

Step-by-step explanation:

Given P = 2T = 3Q, then

3Q + 4T = 26 can be expressed as

P + 2P = 26

3P = 26 (multiply both sides by 2)

6P = 52 ← as required

Step-by-step explanation and answer:

The given equations P=2T=3Q can be split up into

P=2T ... (1)

P=3Q ... (2)

since they are all equal.

Rewrite the given equation

3Q + 4T = 26 ... (3)

as

3Q + 2 (2T) = 26 ... (4)

and substitute (1) and (2) into (4)

P + 2 (P) = 26 ... (5)

Multiply (5) by two to get

6P = 2*26 = 52 ... (6)

as given.