Question

A system of equations is shown below.

Answer 1

3x-2y=7 9x-6y=k
No solution

Answer 2

Answer: Choice C

No solutions if k is anything but 21

=======================================================

Explanation:

Let's multiply everything in the first equation by 3

3x-2y = 7

3*(3x-2y) = 3*7

9x - 6y = 21

We have the 9x-6y match perfectly with the left hand side of the second original equation.

If k = 21, then we have two identical equations that produce infinitely many solutions.

If $k \ne 21$, then this system is inconsistent and has no solutions.