SOLUTION: Find the value of k,if the linear equation 3x+5y=3&6x+key=8 do not have a solution?

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Question 982053: Find the value of k,if the linear equation 3x+5y=3&6x+key=8 do not have a solution?
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
No solution if slopes congruent.

system%283x%2B5y=3%2C6x%2Bky=8%29

Corresponding slopes are system%28-3%2F5%2C-6%2Fk%29.

Equating these slopes,
-3%2F5=-6%2Fk.
Solve for k.