00:01
So here we have the system negative 2x plus 6y equals 6, and then negative 7x plus 8y equals negative 5.
00:12
So let's go ahead and look at the coefficients of x's and y.
00:17
And what you see is there's not one where the coefficient of x and y is 1, so we can just multiply by one number.
00:24
We're going to have to find a common factor or common multiple of these two.
00:29
So if we focus on the x's here, the common multiple would be 14.
00:34
So let's go ahead and multiply this top equation by negative 7 on both sides, and the bottom equation by positive 2, because we need 14 on the x and negative 14 on the x as well.
00:51
So this gives us the new system, positive 14x minus 42y equals negative 42, and then minus 14x plus 16y equals negative 10.
01:04
So when we add these using elimination, what we're going to get is 0 and then minus 26y equals negative 52...