Question

the following is a 3-step proof. Starting with the given, complete the proof. Given: m 5 = m 6 Prove:m 3 = m 4

Answer 1

This is probably the shortest proof.

Given m × 5 = m × 6,

$5m=6m$

Subtract 2m from both sides,

$3m=4m$

The equality didn't change just it's form since we are executing operations on both sides of the equation. Therefore,

$5m=6m\Longleftrightarrow3m=4m$

Hope this helps.

r3t40