SOLUTION: The sum of two numbers is 14. The larger number is 2 more than 3 times the smaller number. Find the two numbers that satisfy these requirements.
I don't really understand this
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Question 721027: The sum of two numbers is 14. The larger number is 2 more than 3 times the smaller number. Find the two numbers that satisfy these requirements.
I don't really understand this question.
PLEASE help me!!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The sum of two numbers is 14 ----> x+y = 14
Solve for y to get y = 14 - x
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The larger number is 2 more than 3 times the smaller number ----> y = 3x + 2
Note: y is implied to be the larger number (in this case). You could easily make x the larger number (and it wouldn't change the final answer)
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y = 3x + 2
14 - x = 3x + 2 ... plug in y = 14 - x (ie replace y with 14 - x)
-x=3x+2-14
-x-3x=2-14
-4x=2-14
-4x=-12
x=(-12)/(-4)
x=3
Now that you know x = 3, you can use it to find y
y = 14 - x
y = 14 - 3
y = 11
So the solutions are x = 3 and y = 11
Therefore, the two numbers are 3 and 11
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