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The sum of two numbers is 2. The sum of three times the larger and twice the smaller is 14. Find the numbers.

User Patrick Q
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1 Answer

5 votes

For this case we have to:

x: Be the variable that represents the largest number

y: Be the variable that represents the smallest number

We propose a system of equations:


x + y = 2\\3x + 2y = 14

From the first equation we have to:


x = 2-y

Substituting in the second equation:


3 (2-y) + 2y = 14\\6-3y + 2y = 14\\6-y = 14\\-y = 14-6\\-y = 8\\y = -8

We look for the value of "x":


x = 2 - (- 8)\\x = 2 + 8\\x = 10

Answer:
x = 10\\y = -8

User A Bit Of Help
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