00:04
We're asked to solve this system of equations by using elimination.
00:09
What solving a system of equations means, as a review, is to find a value for x and a value for y that satisfies both of these equations.
00:20
And so graphically, that would be where the two lines intersect.
00:25
That would be our solution.
00:27
So to solve the elimination, what we might do here is see, okay, how can i eliminate one of the variables? so let's say we're looking at our x variable here and i know that i have a positive 0 .02x here.
00:44
I have a negative minus 0 .06x here.
00:47
I could multiply this whole equation by 3 to make this positive 0 .06 x and then 0 .06 minus 0 .06.
00:59
Those would cancel out.
01:00
So i'll do that by multiplying this whole equation by 3.
01:04
So that will give me 0 .06x plus 0 .15y is equal to 3 .75.
01:14
So now that i've done that, i can see positive 0 .06x minus 0 .06x.
01:21
That gives me 0x or 0 plus 0 .15y minus 0 .15y.
01:29
That's just giving me 0 .0 .y is equal to 3 .75 minus 0 .15y...