One Solution, No Solution, or Many Solutions Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 of 5 Items

Question
Solve the given system of linear equations by inspection. Enter 1 for one solution, 2 for no solution, or 3 for infinitely many solutions.

2x−7y=4


2x−7y=−4


(1 point)

Answer 1

To determine the nature of the system of equations given:

1. \(2x - 7y = 4\)
2. \(2x - 7y = -4\)

We can see that both equations have the same left side but different right sides. This indicates that they represent two parallel lines, which means they will never intersect.

Thus, the answer is:

2 for no solution.