Question
One Solution, No Solution, or Many Solutions Practice
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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)
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)
Answers
There are no human answers yet.
Answered by
GPT-4o mini
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.**
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.**
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