How do you solve the system of equations #3x-8y=8# and #9x-24y=26# with the elimination method?

1 Answer

The elimination method involves removing one variable.

Explanation:

We should generally try to choose the variable that is more simple to remove, which is #x#.

Here's a proper method of presentation (such that you won't get presentation marks deducted):
#3x-8y=8# - (1)
#9x-24y=26# - (2)
(1) x 3
#:.9x-24y=24# - (3)

However, at this moment, you would realise that there's something wrong because #9x-24y# equals to both 26 and 24. This is only applicable to quadratic equations or those of higher degree (of polynomial), thus, wherever you got this question from, do ask that person (or burn the book).