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The sum of two numbers is 10. Their difference is 5. Write a system of equations and solve for both numbers.

Respuesta :

Answer:

x + x = 10

x - x = 5

2x = 10

x = 10/2

x = 5

Step-by-step explanation:


jcherry99

Answer:

The two numbers are 7.5 and 2.5

Step-by-step explanation:

Givens

  • Larger number = x
  • Smaller number = y
  • Sum = 10
  • Difference =5

Equations

  • x + y = 10
  • x - y = 5

Solution

Add the 2 equations.

  • 2x = 15            Divide by 2
  • 2x/2 = 15/2     Divide
  • x = 7.5

==========

x + y = 10

  • 7.5 + y = 10
  • y = 10 - 7.5
  • y = 2.5

Answer

  • x = 7.5    (Larger number
  • y = 2.5    (smaller number)

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