SOLUTION: Please help me with this question: y=-2kx^2-3x+5k y=3x+2k-1 find the value of k so there is only one solution

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Question 1203913: Please help me with this question:
y=-2kx^2-3x+5k
y=3x+2k-1
find the value of k so there is only one solution

Found 2 solutions by josgarithmetic, math_tutor2020:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!

Answer by math_tutor2020(3816)   (Show Source): You can put this solution on YOUR website!

If k = 0, then the x^2 term in the 1st equation goes away. This leaves us with two linear equations. They may or may not intersect. If they do intersect, then you'll have exactly one solution.

I'll let the student check to see if the lines are parallel or not.

Hint: parallel lines have equal slopes but different y-intercepts.

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