linear system of conceivable equations has no solution

[MD234]

What is the value of k so that the following linear system of conceivable equations has no solution: 2x + 3y =9kx - 6y=5? What are the steps of your solution?

 

[Deleted member 4993]

What is the value of k so that the following linear system of conceivable equations has no solution: 2x + 3y =9kx - 6y=5? What are the steps of your solution?

Please share your thoughts/work about this problem.

 

[R.M.]

What does a linear equation represent? What does the solution of a system of linear equations represent? Once these are answered, think about what "no solution" means.

 

[Dr.Peterson]

What is the value of k so that the following linear system of conceivable equations has no solution: 2x + 3y =9kx - 6y=5? What are the steps of your solution?

It appears that you are asking about one of these systems:

2x + 3y =9​

kx - 6y=5​

2x + 3y =9k​

x - 6y=5​

I think it has to be the former in order to make sense of the problem. But you really should have proofread what you submitted.

There are several very different ways to approach this, depending on what you have learned (e.g. about matrix solutions, determinants, solving by addition or by substitution. (Or you can solve it at a glance, without any of those methods, if you understand how such systems work.) That's why we need to see what you have tried, or at least what you have learned, in order to help:

Posting Guidelines (Summary)

Welcome to our tutoring boards! :) This page summarizes the main points from our posting guidelines. As our name implies, we provide math help (primarily to students with homework). We do not generally post immediate answers or step-by-step solutions. We don't do your homework. We prefer to...

www.freemathhelp.com