Question

Gloria says the two expressions;

1/3 (9x + 48) - 12x and -4(2x +4) are ecuivalent. Is she correct?
Explain how you know.

Answer 1

• 1/3(9x+48)-12x=-4(2x+4)
• 3x+16-12x=-8x-16
• -9x+16≠-8x-16

She is incorrect

Answer 2

She is incorrect

Explanation:

`\begin{aligned}(1)/(3)(9x+48)-12x & =(9)/(3)x+(48)/(3)-12x\\ & = 3x+16-12x\\& = 16-9x\end{aligned}`

`\begin{aligned}-4(2x+4) & =(-4)2x+(-4)4\\& = -8x-16\end{aligned}`

As
`16-9x\\eq -8x-16` then she is incorrect.