State whether the following statement is true or false. Explain.
The point (3, -5, -4) satisfies all equations of the system shown below.
x + y - z = 2
x + y + z = -6
x - y - z = 4
Choose the correct answer below.
A. False, because the ordered triple (3, -5, -4) does not satisfy any
of the three equations.
B. False, because the ordered triple (3, -5, -4) only satisfies one
equation.
C. False, because the ordered triple (3, -5, -4)
only satisfies two equations.
D. True, because the ordered triple (3, -5, -4)
satisfies all three equations.