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.
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
3 answers
Your solution for System A is correct! Good job. However, System B has another answer. Please attempt it again.
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.