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) About Me  (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
+%28x%2F2%29%2B+3%2Ay++=+9+ ...............eq(1)
Two thirds a larger number minus twice a smaller number is 6.
%282%2F3%29+%2Ax+-+2y++=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:
0.5%2Ax+=+9+-+3%2Ay, or x+=+9%2F0.5+-+3%2Ay%2F0.5. Substitute that
into another equation:
0.666666666666667%2A%289%2F0.5+-+3%2Ay%2F0.5%29+%2B+-2%5Cy+=+6 and simplify: So, we know that y=1. Since x+=+9%2F0.5+-+3%2Ay%2F0.5, x=12.

Answer: system%28+x=12%2C+y=1+%29.

result: larger number = 12
smaller number = 1