Question

Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions? When x = 3, both expressions have a value of 30. When x = 5, both expressions have a value of 42.

Answer 1

The answer is choice first which is "When x = 3, both expressions have a value of 30".

Explanation:

Given:

First expression:
`4(x+3)+2x`

Second expression:
`6(x+2)`

Through the question when we substitute x=3 into its first equation so we get:

`\to 4(3+3)+2(3) \\\\ \to 4* (6)+6\\\\ \to 24+6\\\\ \to 30`

The value will be substituted by x=3 into its second expression:

`\to 6(3+2)\\\\ \to 6(5)\\\\ \to 30`

So, it will prove that both the two expressions are equivalent.