# The sum of two numbers is 5 and  their difference is 9. What are the two  numbers?

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• 7

-2

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• The numbers are 7 and -2

• Narayanan P
Lv 5
2 months agoReport

7 and -2
verify
sum - > 7 + (-2) = 5
difference -> 7 - (-2) = 9

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• The two numbers are -2 and 7.

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• (5+9)/2 = 7 and (5-9)/2 = -2

The two numbers are 7 and -2.

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• The numbers are 7 and -2

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• The numbers are 7 and -2

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• x + y = 5

x - y = 9

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2x = 14

x + y = 5

y = 5 - x

y = 5 - 7

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• Their difference is 9 so they are

x and x - 9

The sum of those two numbers is 5

2x - 9 = 5

x = 7 the other is -2

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• The sum of two numbers is 5:

x + y = 5

Their difference is 9:

x - y = 9

You have a system of two equations with two unknowns.  I'll solve this with elimination.

y's coefficients are already opposites so if I add the two equations together I get a third that has one unknown:

x + y = 5

x - y = 9

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2x = 14

x = 7

Now I can solve for y:

x + y = 5

7 + y = 5

y = -2

7 and -2

They add to 5 and subtract to 9.

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• 4 and 2.

JK.

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