Question

How do I solve this system using the elimination method? PLEASE HELP!

5x+4y=12 and 3x-3y=18

Answer 1

hint the second equation can be factored

Answer 2

What's happening here?

3x−3y=18 >x−y=6> 4x−4y=24

Answer 3

Oh, did you delete your response...?

Answer 4

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

Answer 5

\(5x+4y=12\)
\(3x-3y=18\) > \(x-y=6\) > \(4x-4y=24\)
divided times
by 6 6


\(5x+4y=12\)
\(4x-4y=24\)
~~~~~~~~~

Add the two equations now, and tell me what you get.

Answer 6

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

Answer 7

MISTAKE:
Oh, divide by 3, not 6.

Answer 8

correction equation 2 divided by 3

Answer 9

yes, just said that

Answer 10

mails crossed

Answer 11

:)

Answer 12

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

Answer 13

yes

Answer 14

Then you have to add the equations.

Answer 15

I was taught a different method to solve this though. Are you sure this is a valid way to solve for the elimination method?

Answer 16

yes, I am positive

Answer 17

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

Answer 18

glad you are paying attention

Answer 19

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

Answer 20

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

Answer 21

Alright I'll solve for it then!

9x=36 > (9/9)x=(36/9) > x=4

Answer 22

yes, x=4 is right.

Answer 23

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! :)

Answer 24

sure, yw

Answer 25

no problem