00:01
Okay, so we want to solve the system of the equations here.
00:04
To make this easier for myself, i could multiply everything up to some other numbers, but personally, i like to do with smaller numbers.
00:12
So i'm going to divide or multiply the first equation by one -half by one -fourth, and i'm going to do the second one -fifth.
00:21
And i'm going to read them down in this open space here.
00:24
So 1 -4th times 4x is x because it would be minus 2y equals 1.
00:29
And then i'm going to have 3x plus 2y equals 1.
00:36
So that's already set up that i can actually eliminate the y value.
00:39
So i'm going to do that so that this will go away.
00:42
3x and x go together as 4x.
00:44
1 and 1 is going to give me 2.
00:47
Divide by 4 and i get x equals 1 half.
00:51
Okay.
00:51
So that's going to be the first part of my solution here is x equals 1 .5.
00:56
The y value is going to be, i probably should go back to the original one, but i can just, i trust that.
01:02
I can go here.
01:03
I'll say one half minus two y is equal to one.
01:07
So i could subtract one half over.
01:10
So that negative two y is equal to a positive one half.
01:14
And i multiply by a negative one over two to cancel this out.
01:19
So why is it go to a negative one fourth? so that's my second equate, or second point is the y value y equals negative one fourth.
01:30
So my solution is.
01:31
Is the intersection point of 1 1�, negative 1 4th.
01:38
So on the corner grid, i'm going to just graph these.
01:43
Personally, i like to just do this with like an x, the x and y intercepts.
01:47
So what i mean by that is for this one right here, i like to set up this chart.
01:53
Okay, so if x equals zero, this goes away, then i could divide both sides by a negative eight.
01:58
So y is equal to a negative 4 over 8, which is negative 1 half.
02:03
So that equation is going to go, let's see here.
02:06
We have one.
02:08
So it's going to be right there...