SOLUTION: One half of a larger number, plus three times another number is equal 9.two thirds a larger number minus twice a smaller number is 6 I just need to know how it's wrote thank you

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Question 939051: One half of a larger number, plus three times another number is equal 9.two thirds a larger number minus twice a smaller number is 6
I just need to know how it's wrote thank you

Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
Let x,y be the larger and smaller number respectively
One hails of large number is x/2
3 times the other numbers is 3x
One half of a larger number, plus three times another number is equal 9
%28x%2F2%29%2B3y=9 ......eq1
two thirds a larger number minus twice a smaller number is 6
%282%2F3%29x-2y=6}......eq2
We need to solve above equations
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.