Question

Explain weather 14t-3t is equivalent to 3t-14t. Support your sender by evaluating the expression for t=2.

Answer 1

The expressions 14t-3t and 3t-14t are not equivalent because subtraction is not commutative, resulting in 11t and -11t respectively. When evaluated for t=2, they yield 22 and -22, highlighting their non-equivalence.

Step-by-step explanation:

The expressions 14t-3t and 3t-14t are not equivalent. This difference is because subtraction is not a commutative operation; changing the order of the terms will change the result. In the first expression, we combine like terms by subtracting 3t from 14t to get 11t. In contrast, the second expression simplifies to -11t by subtracting 14t from 3t.

Let's evaluate both expressions when t=2:

• For 14t-3t, we have 14(2) - 3(2) = 28 - 6 = 22.
• For 3t-14t, we have 3(2) - 14(2) = 6 - 28 = -22.

As you can see, when evaluated for t=2, 14t-3t equals 22 and 3t-14t equals -22, which confirms they are indeed not equivalent expressions.

Answer 2

Solving 14t-3t we get 22 and 3t-14t we get -22

So, 14t-3t is not equivalent to 3t-14t.

Step-by-step explanation:

We need to explain weather 14t-3t is equivalent to 3t-14t. Support your sender by evaluating the expression for t=2.

Equivalent expressions are those that have same values for any value of variable substituted.

Now, We check if our expressions are equivalent, by evaluating the expression for t=2.

If they are equivalent, they would have same result after evaluation.

First, put t=2 into 14t-3t

`14t-3t\\Put\:t=2\\=14(2)-3(2)\\=28-6\\=22`

Now put t=2, into 3t-14t

`3t-14t\\Put\:t=2\\=3(2)-14(2)\\=6-28\\=-22\\`

For solving 14t-3t we get 22 and 3t-14t we get -22

So, 14t-3t is not equivalent to 3t-14t.