00:01
To solve the system of equations using gauss -gordon elimination, that means we need to create a matrix consisting of the coefficients in front of x and y and the right -hand sides.
00:11
The first equation gives us coefficients negative 9, negative 29, and 18.
00:17
The second equation gives 5, 16, and 19.
00:24
What we'll do next is multiply the first row by 5 over 9 and add to the second row.
00:35
We will rewrite the first row.
00:40
In the second row we'll get negative 9 times 5 over 9 is going to be negative 5 plus 5 is 0.
00:48
Next negative 29 times 5 over 9 is going to be negative 1 for a 5 over 9 and we need to subtract that from 16 and 18 times 5 over 9 is going to be 10 and 10 plus 19 is 29.
01:10
What we'll do next is we'll need to simplify.
01:15
16 minus 1 .49 is going to be negative 1 over 9 because 16 times 9 equals 144 over 9 minus 1 45 over 9 is going to be negative 1 over 9.
01:32
So what we'll get is negative 9, negative 29, 18 and 0, negative 1 over 9 29.
01:43
Next we'll multiply the second row by negative 9...