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: y=3x+9
y=3x+1
System B: -x-3y=1
x+3y=-1

3 answers

System A is unsolvable as the two equations represent parallel lines.

System B has a single solution: x=2, y=-1.
Congratulations! You got System A correct. However, you need to try again for your solution on System B.
Apologies for the mistake. Let's solve System B again:

System B:
-x - 3y = 1
x + 3y = -1

By adding the two equations together, we get:
0 = 0

This means the two equations are equivalent and represent the same line. Therefore, System B has an infinite amount of solutions.
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