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Directions; Write a system of equations for each of the descriptions below, and then solve the systems. Hint: you can graph the equations to find the solutions.

There is a number that is three-fifths the total of the other number. When four is added to one of the numbers their sum will be equal to the other number. There are two pairs of numbers that satisfy these descriptions. What are they?

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Answer:

6 and 10

Step-by-step explanation:

Let a = the first number(3/5 of the second number namely b)

Let b = the number that is 5/3 of a

a=3/5 b

Assuming they are both positive integers, obviously you will have to add 4 to a.

4+a = b

4 + 3/5 b = b

2/5 b = 4

b = 10

a=6

ONLY ASSUMING IF THEY ARE BOTH POSITIVE INTEGERS

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