50.4k views
5 votes
The system of equations graphed below has how many solutions?

A. Infinitely many
B. 2
C. 1 D. 0

The system of equations graphed below has how many solutions? A. Infinitely many B-example-1

1 Answer

4 votes

Answer: D) 0

========================================================

Step-by-step explanation:

Each given equation is in the form y = mx+b, with m as the slope

The slope of each equation is m = -3/2

Since the lines have the same slope, but different y intercepts, we have two parallel lines.

Parallel lines never intersect, so we don't have any solutions.

A solution to a system is an (x,y) point that is on both lines at the same time, making both equations true simultaneously.

A system with no solutions is considered inconsistent.

User Krishnakeshan
by
3.9k points