00:01
So to check this solution down here, this 4 negative 3, 2, we are going to check it with all three of these to see if it's a solution to the whole system.
00:08
So the first one, 4 times x is 4 minus 5 times z, which z is 2.
00:15
Now, 4 times 4 is 16 and minus 5 times 2 is 10, and 16 minus 10 makes 6.
00:22
So check, that worked.
00:24
The next one, 5 times y where y is negative 3 and minus the z, which is 2.
00:30
Now, 5 times of negative 3 is negative 15, and negative 15 minus 2 does make negative 17.
00:37
So check, that works...