SOLUTION: the sum of two numbers is 10. Twice the larger decreased by three times the smaller is 5. Find the two number

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Question 669343: the sum of two numbers is 10. Twice the larger decreased by three times the smaller is 5. Find the two number
Answer by pamalah@yahoo.com(10) About Me  (Show Source):
You can put this solution on YOUR website!
Let L = large
Let S = small
System of equations:
L+S=10
2L-3S=5

L+S=10 (-2)
2L-3S=5

-2L+-2S=-20
2L-3S=5

-5s=-15
s=3

L=7

L+S=10
7+3=10 true

2L-3S=5
2*7-3*3=5
14-9=5 true