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Two numbers have a sum of 33. The same two numbers have a difference of 13. What are the two numbers?

Solve using a system of equations.

Respuesta :

jcherry99

Answer:

x = 23

y = 10

Step-by-step explanation:

Let the two numbers be x and y where x>y

x + y = 33

x - y  = 13             Add

2x = 46               Divide by 2

2x/2=46/2           Do the division

x = 23

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Solve for y

x + y = 33               Substitute for x

23 + y = 33             Subtract 23 from both sides.

23-23+y = 33 - 23  

y = 10