00:01
Okay, so i see that you need help with this problem.
00:05
And so what i am going to do is to solve for this, i can already eliminate my x's from this equation here.
00:17
And so then i would get y equals, i'm sorry, y plus 2z equals negative 1.
00:40
And so then i have my one equation here, and actually no, that's not how i was going to do this.
00:49
Sorry, there's multiple ways to solve for this.
00:53
First thing i'm going to do is i'm going to solve for x for this equation.
00:57
So i'm going to get x equals 2, and i'm going to use my curly 2, 2 plus y minus z, okay? and so i'm going to plug this in for x in my other two equations.
01:17
So i'm going to get negative 1 times 2 plus 2 plus y minus z, okay, plus 2y plus z equals negative 3.
01:37
And i'm going to get negative 2 minus y plus z plus 2y plus z equals a negative 3.
01:50
So then i'm going to move this 2 over to the other side.
01:54
So that's going to cancel out and it's going to become a negative 1.
01:58
Then i have this y and this y, that is going to get me just y by itself plus 2z.
02:11
Then for my other equation, i have 2 times 2 plus y minus z, plus y minus 2z equals 3.
02:29
So then i have 4 plus 2y minus 2z plus y minus 2z equals 3.
02:43
So then if i subtract this 4 from both sides, and then i'm going to combine my two y's, i have 3y minus 4z equals negative 1.
03:04
So then i have 3y minus 4z equals negative 1.
03:12
So i'm going to multiply this by 2.
03:17
So i have 2y plus 4z equals negative 2.
03:26
And so these are going to cancel out.
03:30
So i'm going to get 5y equals negative 3.
03:35
And so then i'm going to get y equals negative 3 fifths.
03:43
So that is what y equals.
03:46
And so if y equals negative 3 fifths, then i'm going to plug in this equation here for y...