00:01
In this problem, we are asked to solve the following system of equations, and we are asked to solve it via elimination.
00:08
And so the first two things that we need to do before we can actually eliminate variables and solve this system is to make sure that both of our equations are in ax plus by equals c form.
00:23
And what this essentially just means is that our x terms have to be together, our y terms have to be together.
00:31
And our c terms have to be together.
00:33
And once that happens, as it already has in this system, then we are good to go to our next step, which is to make sure that we have two oppositely valued variables so that they can cancel out.
00:45
And what i mean by this is that if one equation have a 2x, the other equation should have a negative 2x, so that way they can cancel out and be 0.
00:55
And so, looking at these two equations, i want to do the thing that is the least amount of work.
01:02
And while i could multiply the first equation by 5 and the second equation by 8 to cancel out the ys, that's a lot more multiplication than personally i want to do.
01:13
So i look as the thing that's much easier, and that is multiplying our first equation by negative 2, so that way our x terms can cancel out.
01:24
And remember what we do to one side of the equation, we must do to the other, except on the right side, i won't do much, since remember, negative 2 times any number, excuse me, zero times any number is just going to be zero...