SOLUTION: Hello, I am having a trouble solving the following problem: Find a value for K so that the following system of equations has infinitely many solutions. 6x + 3y = 15 Kx

Question 231041: Hello,
I am having a trouble solving the following problem:
Find a value for K so that the following system of equations has infinitely many solutions.

6x + 3y = 15
Kx + y = 5

A) 0 B) -6 C) 2 D) 3 E) 5
A, B, C, D, and E are the only allowable answers given for the problem. Please help.
Thank you,
David

Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Find a value for K so that the following system of equations has infinitely many solutions.
6x + 3y = 15
Kx + y = 5
:
This will happen when both equations are the same
2x + y = 5
:
if you multiply this equation by 3, it's the same as the 1st equation
therefore k = 2

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