Question

Given: m A + m2B = m_B + m_C

Prove: m. = MZA
Write a paragraph proof to prove the statement.

Answer 1

To prove the statement mA + mB = mB + mC, we can use the commutative property of addition and rearrange the terms to show that mA = mC. Then we can replace mA with M and mC with ZA, resulting in the statement M = ZA.

Step-by-step explanation:

To prove the statement mA + mB = mB + mC, we need to use the commutative property of addition, which states that the order of the addends does not affect the sum. Therefore, we can rearrange the terms:

mA + mB = mB + mC

By subtracting mB from both sides, we get:

mA = mC

Now, let's replace mA with M and mC with ZA, resulting in:

M = ZA