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

Answer:

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

Step-by-step 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:

$\to 4(3+3)+2(3) \\\\ \to 4\times (6)+6\\\\ \to 24+6\\\\ \to 30$

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.