Solve the system of equations using Elimination Method

Question

Solve the system of equations using Elimination Method

(Enter your answer in the point form (x, y)

18x-4y=-12

-9x+3y=0

Answer 1

The goal of the elimination method is to add equations together to eliminate a variable. In this case, it's fairly easy to see that if I multiply the second equation by 2, it would give me a -18x that would add to 18x (from the first equation) that would eliminate the x's.

so:

18x - 4y = -12

-9x + 3y = 0

converts to

18x - 4y = -12

-18x + 6y = 0

and dding those two equations gives:

2y = -12

y = -6

Plugging that into

-9x + 3y = 0 results in:

-9x + 3(-6) = 0

-9x - 18 = 0

-9x = 18

x = -2

So the solution is (-2, -6)