SOLUTION: One half of a larger number, plus three times another number is equal to 9. Two thirds a larger number minus twice a smaller number is 6.

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Question 939043: One half of a larger number, plus three times another number is equal to 9. Two thirds a larger number minus twice a smaller number is 6.
Answer by srinivas.g(540)   (Show Source): You can put this solution on YOUR website!
let x, y be the larger & smaller number respectively
One half of a larger number, plus three times another number is equal to 9
...............eq(1)
Two thirds a larger number minus twice a smaller number is 6.
...............eq(2)
we need to solve above equations to get the answers
Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
We'll use substitution. After moving 3*y to the right, we get:
, or . Substitute that
into another equation:
and simplify: So, we know that y=1. Since , x=12.

Answer: .

result: larger number = 12
smaller number = 1

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