A system of equations is shown below. 3x-2y=7 9x-6y=k

Question

asked Nov 18, 2023 125k views

2 Answers

Soni Kumar · Answer 1 · 2023-11-22T04:00:13+0000

No solutions if k is anything but 21

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

Step-by-step 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
$k \\e 21$ , then this system is inconsistent and has no solutions.