Question

Mr. Carlevato and Mr. Burrows get into a debate about two different expressions. · Mr. Carlevato says "2(2x + 3) is equal to 4x + 6". · Mr. Burrows says "Nope, wrong, those are clearly different expressions" Try substituting x=5 into both expressions. Do you get the same answer for both expressions? Show your work!

Answer 1

Answer:

Yes, the same answer is obtained.

Step-by-step explanation:

According to Mr. Carlevato, $2(2x+3)$ is equal to $4x+6$. However, $2(2x+3)$ is not equal to $4x+6$ according to Mr. Burrows.

Put $x=5$ in $2(2x+3)$

$2[2(5)+3]=2(10+3)=2(13)=26$

Put $x=5$ in $4x+6$

$4x+6=4(5)+6=20+6=26$

Therefore,

$2(2x+3)=4x+6$

Yes, the same answer is obtained.