# Question Video: Finding a Value of an Unknown in Algebraic Equations Using the Commutative Property Mathematics • 6th Grade

If (π¦/5 ) + 45 = 45 + (3/ 5), what is the value of π¦?

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### Video Transcript

If π¦ over five plus 45 is equal to 45 plus three over five, what is the value of π¦?

Of course, we could take this equation and try to solve algebraically. To do that, we would try to get π¦ by itself. If we subtract 45 from both sides of our equation, on both sides, we have 45 minus 45, which is zero. And the remaining part of the equation is π¦ over five is equal to three over five.

Multiplying both sides of the equation by five, because five over five is one, π¦ is equal to three. This is illustrating the commutative property of addition, which tells us that π plus π is equal to π plus π. And that means itβs possible that we could have said π¦ over five is equal to three over five based on the commutative property of addition.

And therefore, π¦ is equal to three. Both methods give us a final answer for the value of π¦ of three.