SOLUTION: Determine the value of k for which the system of linear equations
2x−y =5
6x+ky=2
Has no solution.
k=?
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Question 649252: Determine the value of k for which the system of linear equations
2x−y =5
6x+ky=2
Has no solution.
k=?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
Now we want a system with no solutions. This mean the slopes are the same,
but the y-intercepts are different,the lines are parallel . Again, let's get these into slop-intercept form.
....->...
...->....
Again, we set the slopes equal to each other. This gives us 2 = -(6/k).
Now, we need to verify that the are not the same.
first substitute in
The first one is , and the second one is , or
They clearly are not the same, so the .
.
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