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I need help with this question for my math hw. Please Help!

I need help with this question for my math hw. Please Help!-example-1
User Jollyra
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1 Answer

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Answer:

1. 2x +2y = 310; x -y = 55

2. y = 50, x = 105

Explanation:

Let the numbers be represented by x and y. Double the numbers would give 2x and 2y. We're told the sum of the doubled numbers is 310, so one equation is ...

2x + 2y = 310

The difference of the numbers is (x-y). We're told that difference is 55, so the other equation is ...

x - y = 55

__

We can divide the first equation by 2, and subtract the second.

1/2(2x +2y) -(x -y) = 1/2(310) -(55)

2y = 100 . . . . . . . simplify

y = 50 . . . . . . . . . divide by 2

x -50 = 55 ⇒ x = 105 . . . . use the second equation to find x

The two numbers are 105 and 55.

User AntiqTech
by
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