Given the equation 4x + 2y = 9, which equation below would cause an inconsistent-independent system?

6x + 12y = 13

2x + y = -6

x - 2y = 7

8x - 4y = -5

Question

Given the equation 4x + 2y = 9, which equation below would cause an inconsistent-independent system?

6x + 12y = 13

2x + y = -6

x - 2y = 7

8x - 4y = -5

mathmale · Answer

Key to the solution of this problem is understanding what is meant by "inconsistent-independent system."  Would you define that term, please?  Having this info on hand will help you in determining which of the possible answer choices is the correct one.

anonymous · Answer

lines meet in one point
slopes are different
one solution point  this is for an independent system

lines are parallel
slopes are equal but intercepts are not
no solutions. this is an inconsistent system

mathmale · Answer

Think:  given 4x + 2y = 9,
which of the equations from among the four possible answer choices would result in an inconsistent system of linear equations?  Why?

anonymous · Answer

ok i think i got the answer. thanks