Question:
The model below represents an equation.
2 long x tiles and 3 square y tiles = 3 long x tiles
Which represent like terms in the model of the equation?
Answer:
2 long x tiles and 3 long x tiles are like terms
Step-by-step explanation:
Given
2 long x tiles and 3 square y tiles = 3 long x tiles
Required
Identify the like terms
Represent long with a and square with b.
So, we have:
2a x and 3b y = 3a x
and, as used here means addition
So:
[tex]2a x + 3b y = 3a x[/tex]
Collect like terms
[tex]3by = 3ax - 2ax[/tex]
[tex]3by = ax[/tex]
See that 3ax and 2ax are evaluated without any barrier.
This means that they are like terms