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

Yes, the same answer is obtained.

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.