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

Answer 1

MEDAL AND FAN

Answer 2

@demonchild99

Answer 3

@Jackeline1928

Answer 4

@TheSmartOne @texaschic101 @tanya123 @Teddyiswatshecallsme

Answer 5

Anyone please

Answer 6

Texaschic

Answer 7

Inconsistent means there is no solution...the lines will be parallel. Parallel lines will have the same slope.
4x + 2y = 9
2y = -4x + 9
y = -2x + 9/2
slope here is -2, so we need the other equation to have a slope of -2.

2x + y = -6
y = -2x + 6
slope here is -2 as well.

And since they have the same slopes and different y intercepts, this makes them parallel, making them inconsistent.

I do not see how a set of equations can be inconsistent and independent because inconsistent means there is no solutions and independent means there is 1 solution.