Question

Are these two expressions equivalent when x=2? 7(8x+5) and 48x+35

Answer 1

The first expression equals 147.
The second expression equals 131.
So, no the expressions are not equivalent.

Answer 2

7(8x+5) ≠48x+35 when x = 2.

That is; the two expressions are not equivalent when x = 2

Explanation:

To solve this, we need to follow the steps below

We will substitute x = 2 in the first expression and simplify, then we will now substitute x =2 in the other expression and simplify, at the end of the simplification, we will compare the two expression to see if they are equal.

First lets open up the bracket, that is; 7(8x + 5)=56x + 35

Now substitute x = 2 in 56x + 35

56 x + 35 = 56(2) + 35 = 112 + 35 = 147

56 x + 35 = 147 when x = 2

Next is to substitute x = 2 in 48x + 35

48(2) + 35 =96 + 35 =131

The value of 48x + 35 = 131 when x =2

147 ≠ 131

Therefore the two expressions are not equivalent when x = 2