dinorap1
  • dinorap1
How do I solve this system using the elimination method? PLEASE HELP! 5x+4y=12 and 3x-3y=18
Algebra
jamiebookeater
  • jamiebookeater
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triciaal
  • triciaal
hint the second equation can be factored
dinorap1
  • dinorap1
What's happening here? 3x−3y=18 >x−y=6> 4x−4y=24
dinorap1
  • dinorap1
Oh, did you delete your response...?

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triciaal
  • triciaal
the objective of the elimination method is to pick a variable and make the coefficients equal and opposite so that will be eliminated when the equivalent equations are added
SolomonZelman
  • SolomonZelman
\(5x+4y=12\) \(3x-3y=18\) > \(x-y=6\) > \(4x-4y=24\) divided times by 6 6 \(5x+4y=12\) \(4x-4y=24\) ~~~~~~~~~ Add the two equations now, and tell me what you get.
SolomonZelman
  • SolomonZelman
I deleted my reply, to modify it....
SolomonZelman
  • SolomonZelman
MISTAKE: Oh, divide by 3, not 6.
triciaal
  • triciaal
correction equation 2 divided by 3
SolomonZelman
  • SolomonZelman
yes, just said that
triciaal
  • triciaal
mails crossed
SolomonZelman
  • SolomonZelman
:)
dinorap1
  • dinorap1
Oh, I see what you're doing now. Don't you mean multiplied by 4 for the 2nd step?
SolomonZelman
  • SolomonZelman
yes
SolomonZelman
  • SolomonZelman
Then you have to add the equations.
dinorap1
  • dinorap1
I was taught a different method to solve this though. Are you sure this is a valid way to solve for the elimination method?
SolomonZelman
  • SolomonZelman
yes, I am positive
SolomonZelman
  • SolomonZelman
(good that you noticed my typo errors, thank you)
triciaal
  • triciaal
glad you are paying attention
triciaal
  • triciaal
he choose to get rid of y's now add and solve for x
triciaal
  • triciaal
yes that is the way and I was never in any of his classes
dinorap1
  • dinorap1
Alright I'll solve for it then! 9x=36 > (9/9)x=(36/9) > x=4
SolomonZelman
  • SolomonZelman
yes, x=4 is right.
dinorap1
  • dinorap1
And then you plug the value of x into one of the equations to get y. I can understand it from here! Thank you two so much for the help! :)
SolomonZelman
  • SolomonZelman
sure, yw
triciaal
  • triciaal
no problem

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