00:01
In this question, we're given these three equations of this system of equations, and we're asked to check whether this order triple is a solution to the system of equations.
00:13
So what we can do is we can plug the x, y, and z values of this order triple into the x, y, and z of each of the three equations.
00:23
And if the equations are consistent, then we know that 6, negative 7, negative 5 must be an order.
00:31
And triple that is a solution to the system of equations.
00:35
So let's go ahead and start with the first equation.
00:38
We can plug in 6 for x, negative 7 for y, and negative 5 for z.
00:54
And we'll see if that equals 37.
00:57
So we get, from here we can get 3 times 6 is 18, and minus 2 times negative 7 would be a plus 14...