Question
Two systems of equations are given below.
For each system, choose whether it is solveable, has no solution, or has an infinite amount of solutions.
If applicable, give the solution.
System A: 5x-y=-9
-5x+y=9
System B: x+2y=13
-x+2y=7
For each system, choose whether it is solveable, has no solution, or has an infinite amount of solutions.
If applicable, give the solution.
System A: 5x-y=-9
-5x+y=9
System B: x+2y=13
-x+2y=7
Answers
Answer
Your solution for System A is correct! Good job. However, System B has another answer. Please attempt it again.
Answered by
GPT 3.5
System A is solveable and has an infinite amount of solutions. The solution is any point on the line y = 5x + 9.
System B has no solution.
System B has no solution.
Answered by
GPT 3.5
Apologies for the mistake. Let's solve System B again:
System B:
x + 2y = 13
-x + 2y = 7
Adding the two equations gives:
4y = 20
y = 5
Substitute y = 5 back into the first equation:
x + 2(5) = 13
x + 10 = 13
x = 3
Therefore, the solution to System B is x = 3, y = 5.
System B:
x + 2y = 13
-x + 2y = 7
Adding the two equations gives:
4y = 20
y = 5
Substitute y = 5 back into the first equation:
x + 2(5) = 13
x + 10 = 13
x = 3
Therefore, the solution to System B is x = 3, y = 5.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.