00:01
All right, so you were given our system equations.
00:02
Let's solve for x here.
00:03
X equals negative 11 plus 3y minus 2z.
00:09
Now let's solve for x here.
00:13
This is going to give us 2x equals 4y minus 3z minus 15.
00:21
So x is going to equal 2y minus 3 over 2 z minus 15 over 2.
00:29
So now we have these two equations.
00:34
We can set them equal to each other.
00:38
And this is going to give us negative 11 plus 3y minus 2z equals 2y minus 3 halves times z minus 15 over 2.
00:51
Now we can simplify this a little bit.
00:53
This 2y is going to turn into just a y over here.
00:57
If you take negative 3 halves and then add 2, you're going to get just 1 1 .5 z over here.
01:07
And then if you take negative 11 plus 15 divided by 2, you're going to get negative 3 and a half over here.
01:18
So it's going to leave you with 1 .5 z equals negative 3 .5 plus y or y equals 1 half.
01:30
I'll do it in terms of z.
01:31
Z equals y minus 7...