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

Answer: Inconsistent

Step-by-step 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

Answer 2

Answer:

Inconsistent

Step-by-step explanation: