Perhaps you have not yet learned the definition of "ordered triple".
When three numbers are listed inside a set of parentheses, separated by commas, then these numbers denote the coordinates of a point in a three-dimensional coordinate system.
EGs
(x, y, z)
(-1, 2, 7) denotes the point where x = -1, y = 2, z = 7.
(5/3, Pi, sqrt[41]) denotes the point where x = 5/3, y = Pi, z = sqrt[41]
et cetera
In your exercise, (4,-1,-3) denotes such a point.
To "satisfy" an equation means that substituting the given coordinates leads to a true statement of equality.
Substitute each given value for x, y, and z into each equation, and confirm that they lead to all true statements.
If they do, then the ordered triple is a solution of the given system of three equations; otherwise, it is not.