Solve for T²+M given T+M=6 and T-M=2

Published on August 25, 2024

Algebra

This math problem asks to solve for the value of T² + M, given the equations T + M = 6 and T - M = 2. The solution involves solving for T and M using the first two equations and then substituting the values into the third equation to find the answer: T² + M = 18.

Question

Answer

Let’s solve this problem step by step:

We are given three equations:
Our goal is to find the value of .
From the first two equations, we can solve for T and M:

Adding the equations:
Now that we know T, we can substitute it into either of the first two equations to find M:

Using :
Now we have T = 4 and M = 2.
We can now calculate :

Therefore,

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