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Solve the system by the addition method. 3x + 2y = 5 15x + 10y = 25 Select the correct choice below and, if...

Solve the system by the addition method.
3x + 2y = 5
15x + 10y = 25
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. There is exactly one solution. The solution set is { } (Simplify your answer. Type an ordered pair.)
B. There are infinitely many solutions. The solution set is {(x,y) | 3x + 2y = 5} or {(x,y) | 15x + 10y = 25}.
C. The solution set is Ø.

Answer

Answer: B. There are infinitely many solutions. The solution set is {(x,y) | 3x + 2y = 5} or {(x,y) | 15x + 10y = 25}.

Explanation: The second equation is a multiple of the first (15x + 10y = 5(3x + 2y)), indicating that the two equations represent the same line. Therefore, there are infinitely many solutions.

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