Question

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

Answer 1

Answer:

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:

$3(0)-2(-2)+4(0)=-4$

This is satisfied

For the second equation:

$-2=-\frac{0}{3}-2$

This is also satisfied

For the third equation:

$2(0)+2(0)=-4$

This is NOT satisfied

Therefore, the ordered triple does not satisfy the system of equations