A smaller number is 3 less than half a larger number. The larger number is 10 times 1 less than the smaller number. Let x represent the smaller number, and let y represent the larger number. Which equations can be used to model the situation?

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Answer:

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Step-by-step explanation:

This is the answer to your multiple choice problem

x = 1/2y - 3

2x - y = -6

And

y = 10(x - 1)

The answers are the first, second, and the fifth answer choices.

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The required equations can be used to model the situation is x = 1/2y - 3 and y = 10(x-1)

  • Let the smaller number be x
  • Let the larger number be y

  • If the smaller number is 3 less than half a larger number, this is expressed as:

x = 1/2y - 3

  • If the larger number is 10 times 1 less than the smaller number, this is expressed as;

y = 10(x-1)

Substitute equation 2 into 1 as shown;

x = 1/2y - 3

x = 1/2(10x-10)- 3

x = 5x - 5 - 3

-4x = -8

x = 2

The required equations can be used to model the situation is x = 1/2y - 3 and y = 10(x-1)

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