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

An "inconsistent" system means that there will be no shared point between the two lines. This can happen when the two lines are parallel. To determine which one of the equations would cause this, simply compare the slopes of both equations and see which ones match.

The given equation 4x + 2y = 9 has a slope, m = -2

Among the choices, the equation with the same slope is 2x + y = -6.