00:01
The linear equation system is given as x plus y plus z is equal to 6.
00:06
Let's say this is equation 1.
00:08
Second is 2x plus y plus 3z is equal to 10, equation 2.
00:14
And third equation is x plus 4y plus 2 times of z is equal to 8.
00:20
Let's say this is equation 3.
00:22
Now what we can state, ultimately in order to solve them we can write the equation 3 minus equation 2, sorry equation 1.
00:31
So x minus x is 0, 4y minus y it means 3y plus 2z minus z is equal to z is equal to 8 minus 6 it means 2.
00:39
Let's say this is equation 4.
00:41
It is in the format of y and z, so we need to find another equation in y and z.
00:45
So basically equation, we can write equation first times 2.
00:52
Ultimately we need to multiply it by 2.
00:54
So it will be 2x plus 2y plus 2z is equal to 12.
00:59
We can check again 2x plus 2y plus 2z is equal to 12...