What is PT equal 33x plus 77 and TQ equals 77x - 9?

Answer 1

As written your question is almost total nonsense - the only answer I can give based on what you have written is:

They are a set of equations, probably describing the lengths of two line segments.

However, by doing a web search I have been able to find some more questions similar to what you have written and so been able to find what might be the CONTEXT of what you are asking.

At a guess, you have an exercise, in Algebra, where you have been told (but FAILED to tell us so we have no idea what exercise/homework you are trying to get done for you):

``PQ is a line segment with T the mid point of PQ. Calculate the length PT when given the following lengths PT and TQ''

With that context in mind:

if T is the midpoint of PQ, then PT = TQ

You have told us:

• PT = 33x + 77
• TQ = 77x - 9

Which means:

PT = TQ

→ 33x + 77 = 77x - 9

You now have an algebraic equation involving x which YOU can now solve (I had to do some hard work guessing what you wanted answered, so you can repay me by doing the work to get to the final solution - hint: collect all the x onto one side and all the numbers on the other, remembering that what you do to one side of the equals you MUST do to the other side).

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Learning how to realise what all the important facts of a problem, especially the CONTEXT (ie background information) of the question are so that you can tell them to someone else, is a very important life skill which you seem to be lacking; people can not always see what you can see and so do not always know what you know - you need to THINK about what another people are likely to not know.

Answer 2

They are probably two equations.