If 𝑦 over five plus 45 is equal to
45 plus three over five, what is the value of 𝑦?
Of course, we could take this
equation and try to solve algebraically. To do that, we would try to get 𝑦
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 𝑦 over five is equal to three over five.
Multiplying both sides of the
equation by five, because five over five is one, 𝑦 is equal to three. This is illustrating the
commutative property of addition, which tells us that 𝑎 plus 𝑏 is equal to 𝑏 plus
𝑎. And that means it’s possible that
we could have said 𝑦 over five is equal to three over five based on the commutative
property of addition.
And therefore, 𝑦 is equal to
three. Both methods give us a final answer
for the value of 𝑦 of three.