Does the ordered triple (0, -4,0) satisfy the following system of equations?

The ordered triple does not satisfy the system of equations
Explanation:The given ordered triple satisfy the given system of equations if the substitution x = 0, y = -4, and z = 0 satisfy the equations simultaneously. If anyone fails, then it does not satisfy
For the first equation:
[tex]3(0)-2(-2)+4(0)=-4[/tex]This is satisfied
For the second equation:
[tex]-2=-\frac{0}{3}-2[/tex]This is also satisfied
For the third equation:
[tex]2(0)+2(0)=-4[/tex]This is NOT satisfied
Therefore, the ordered triple does not satisfy the system of equations