Question

Solve the following system of linear equations by graphing. (If the system has no solution, enter NONE for each answer. If the system is dependent, enter INFINITELY MANY for each answer.)
7x+2y=0
2x-7y=0

x =
y =

Answer 1

The determinant of the left-hand side is
|7 2 |
|2 -7|
=-49-4
=-53
which is non-zero. This implies that the system is <i>not</i> dependent.

So apart from the trivial solution of x=0 and y=0, there is no <i>non-trivial</i> solution.