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

Sagot :

Answer:

She is incorrect

Step-by-step explanation:

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

[tex]\begin{aligned}-4(2x+4) & =(-4)2x+(-4)4\\& = -8x-16\end{aligned}[/tex]

As  [tex]16-9x\neq -8x-16[/tex]  then she is incorrect.

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

She is incorrect