Determine whether the given ordered triple is a solution of given system.EXAMPLEDetermine...

Determine whether the given ordered triple is a solution of given system.

EXAMPLE

Determine whether (−4, 2, 5) is a solution of the system:

Strategy We will substitute the x-, y-, and z-coordinates of (−4, 2, 5) for the corresponding variables in each equation of the system.

WHY If each equation is satisfied by the x-, y-, and z-coordinates, the ordered triple is a solution of the system.

Solution

We substitute −4 for x, 2 for y,and 5 for z in each equation.

Since (−4, 2, 5) satisfies each equation, it is a solution of the system.