107k views
2 votes
The ordered triple (4, -1, 5) is a solution to which matrix formatted system? Justify your answer.

User Bandook
by
8.2k points

1 Answer

6 votes

Final answer:

The ordered triple (4, -1, 5) is not a solution to the matrix formatted system.

Step-by-step explanation:

The ordered triple (4, -1, 5) is a solution to the matrix formatted system:

4x - y + 5z = 0

To justify this, we substitute the values of x, y, and z from the ordered triple into the equation and check if it holds true:

4(4) - (-1) + 5(5) = 0

16 + 1 + 25 = 0

42 = 0

Since 42 does not equal 0, the ordered triple does not satisfy the equation. Thus, it is not a solution to the matrix formatted system.

User AdventurerOK
by
7.9k points