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Gabriel determined that his total cost would be represented by 2.5x + 2y – 2. His sister states that the expression should be x + x + 0.5x + y + y – 2. Who is correct? Explain.

Respuesta :

Both are correct actually, since x+x+0.5x=2.5x and y+y=2y. They both have the right equations, but Gabriel's is more simplified.
fichoh

Evaluating both expressions, only the representation of the equation differs. Hence, bith expressions are correct.

Sister's Expression :

  • x + x + 0.5x + y + y - 2

Gabriel's expression :

  • 2.5x + 2y + 2

Expressing the sisters equation in it's simplest form :

x + x + 0.5x + y + y - 2

2x + 0.5x + 2y - 2

2.5x + 2y - 2

Since, bith equations are the same, they are both correct.

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