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
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories