00:01
Hello, hope you're doing well.
00:02
So we've got our system of equations here that we're going to solve using the addition method.
00:06
And to do that, we need to eliminate one of our variables.
00:09
So we're going to try and eliminate our variable x.
00:12
So to do that, we're going to multiply our first equation here by minus 3, multiply our second equation by 2.
00:19
So starting out with our first equation in distributing the minus 3, we've got minus 3 times 2x is minus 6x.
00:26
We've got minus 3 times 4y, which is minus 12y.
00:30
That's equal to minus 3 times 6, which is equal to minus 18.
00:36
Moving on to our second equation in distributing the 2, we've got 2 times 3x is 6x, we've got 2 times 6y is plus 12y.
00:45
That's equal to 2 times 9, which is equal to 18.
00:49
So now when we add these two equations together, we've got minus 6x plus 6x.
00:53
That just cancels out and goes to 0.
00:55
So we've eliminated our variable x like we planned...