### Video Transcript

Make π the subject of the equation π is equal to three π‘ over two π. Circle your answer. Is it π is equal to two π‘ over three π , π is equal to three π‘ over two π , π is equal to two π over three π‘, or π is equal to three π over two π‘?

It should be fairly obvious from the answers weβve been given that to make π the subject weβre looking for an equation which is π is equal to some other expression. Just like weβre solving equations, to achieve this, weβre going to need to perform a series of inverse, that means opposite, operations.

Letβs start with π is equal to three π‘ over two π. At the moment, this fraction is making things look a little bit nasty. So weβre going to multiply both sides by two π. Now this isnβt the only first step that we can take, and weβll look at slightly different method in a moment. Multiplying both sides by two π gives us two π multiplied by π on the left-hand side of this equation. Remember, we try to avoid using the multiplication symbol in algebra, so we just write two ππ . Three π‘ divided by two π and then multiply it by two π is simply three π‘. To get π to be the subject of this equation, we need to divide by two and π since at the moment π is being multiplied by both two and π .

Two ππ divided by two π is simply π, and three π‘ divided by two π is three π‘ over two π . And we can see that the correct answer is therefore π is equal to three π‘ over two π . Now you might have noticed that we started by multiplying by two π and then dividing by two π . Since multiplying by two and then dividing by two cancel each other out, we could have begun by multiplying both sides by π. Thatβs ππ is equal to three π‘ over two. Then we would divide both sides by π to once again give us π is equal to three π‘ over two π . Either method is absolutely fine. The answer is π is equal to three π‘ over two π .