Numbers question?

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1 Answer
May 17, 2018

4.5 and 9.5

Explanation:

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You start by writing two equations, x+y=13 and x-y=4. We know these as the two numbers added become 13 and when subtracted become 4.

I worked with the second equation, adding the y to both sides to get x=y+4. I moved this new equation to the first equation, substituting the y+4 for x.

I then had (y+4) + y =13.

Keeping the variables on one side and the numbers on the other, it results in 2y=9. I divide by two on both sides.

This results in y=4.5. We then bring this new result back into the original second equation.

So now we have x-4.5 = 4. Add 4.5 to both sides, and we get x = 9.5.