SOLUTION: r+3s=9 3r+2s=13 Use substitution method to solve system. If its dependant or inconsistant, so indicate

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Question 37395: r+3s=9
3r+2s=13
Use substitution method to solve system.
If its dependant or inconsistant, so indicate
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Okay, from
r + 3s = 9
3r + 2s = 13
we solve the first equation for r and substitute it into the second equation:
r = -3s + 9
3(-3s + 9) + 2s = 13
-9s + 27 + 2s = 13
-7s = -14
s = 2
Then since r = -3s + 9, we have
r = -3(2) + 9 = 3
Our solution is then (3, 2), a consistent system.