Question

Is the system of equations consistent, consistent and coincident, or inconsistent? y=3x+4y=3x+3 Select the correct answer from the drop-down menu.

Answer 1

Inconsistent

Explanation:

Answer 2

Answer: Inconsistent

Explanation:

y = 3x + 4 → m = 3, b = 4

y = 3x + 3 → m = 3, b = 3

These equations have the same slope but different y-intercepts so they are parallel lines which means they will never intersect.

NOTES

• one solution: consistent & independent lines cross
• infinite solutions: consistent & dependent same line
• no solution: inconsistent parallel lines