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(Algebra 1 Equivalent equations)
In a family, the middle child is 5 years older than the youngest child.

Tyler thinks the relationship between the ages of the ages of the children can be described with 2m-2y=10, where m is the age of the middle child and y is the age of the youngest.

Explain why Tyler is right.

Respuesta :

mhanifa

Let the middle child is m and youngest is y.

The middle child is 5 years older than the youngest child, it can be shown as:

  • m - y = 5

Tyler's equation is equivalent to ours since it can be obtained by multiplying both sides of our equation by 2:

  • 2(m - y) = 2*5
  • 2m - 2y = 10 ⇔ m - y = 5

So Tyler is right.

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