How do I solve this system using the elimination method? PLEASE HELP!
5x+4y=12 and 3x-3y=18

- dinorap1

How do I solve this system using the elimination method? PLEASE HELP!
5x+4y=12 and 3x-3y=18

- jamiebookeater

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- triciaal

hint the second equation can be factored

- dinorap1

What's happening here?
3x−3y=18 >x−y=6> 4x−4y=24

- dinorap1

Oh, did you delete your response...?

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## More answers

- 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

\(5x+4y=12\)
\(3x-3y=18\) > \(x-y=6\) > \(4x-4y=24\)
divided times
by 6 6
\(5x+4y=12\)
\(4x-4y=24\)
~~~~~~~~~
Add the two equations now, and tell me what you get.

- SolomonZelman

I deleted my reply, to modify it....

- SolomonZelman

MISTAKE:
Oh, divide by 3, not 6.

- triciaal

correction equation 2 divided by 3

- SolomonZelman

yes, just said that

- triciaal

mails crossed

- SolomonZelman

:)

- dinorap1

Oh, I see what you're doing now. Don't you mean multiplied by 4 for the 2nd step?

- SolomonZelman

yes

- SolomonZelman

Then you have to add the equations.

- 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

yes, I am positive

- SolomonZelman

(good that you noticed my typo errors, thank you)

- triciaal

glad you are paying attention

- triciaal

he choose to get rid of y's
now add and solve for x

- triciaal

yes that is the way and I was never in any of his classes

- dinorap1

Alright I'll solve for it then!
9x=36 > (9/9)x=(36/9) > x=4

- SolomonZelman

yes, x=4 is right.

- 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

sure, yw

- triciaal

no problem

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