00:01
Okay, so we want to solve these equations, and the question says to use gas throughout elimination, but this is really over -complicating things.
00:07
Here we just have two linear equations, and we can really easily solve for the variables.
00:14
So we can see if we just subtract these two equations, then everything here is going to cancel, and we'll just be left with the x variable.
00:21
So if we subtract, we get 5x minus y plus z minus 4x plus y, plus y, minus z, minus z equals 6.
00:30
Minus 4.
00:32
So the y variables cancel, the z variables cancel, we left with 5x minus 4x, which is x.
00:39
And on the right end side, we have 2.
00:41
So x is equal to 2.
00:43
So let's plug this back into these equations.
00:46
4 times 2 is 8.
00:48
So we have 8 minus y plus z is equal to 4...