tell whether this pair of expressions is equivalent.
1/3x+5-2x and 5-5/3x
To determine whether the pair of expressions is equivalent, we need to simplify both and see if they result in the same expression.
1/3x + 5 - 2x:
First, we can combine like terms, so we have:
(-2x + 1/3x) + 5
Next, we can combine the x terms:
(-2 + 1/3)x + 5
To combine the x terms further, we need a common denominator, which is 3:
(-6/3 + 1/3)x + 5
-5/3x + 5
So, the first expression simplifies to -5/3x + 5.
Now let's simplify the second expression:
5 - 5/3x
The second expression is already simplified.
So, the first expression -5/3x + 5 is not equivalent to the second expression 5 - 5/3x.