5
algebra

How many solutions does this system have? {3x+9y=15x+3y=5\begin{cases} 3x + 9y = 15 \\ x + 3y = 5 \end{cases}

A

Exactly one solution

B

Infinitely many solutions

C

No solution

D

Cannot be determined

Correct Answer: B

Choice B is the correct answer. Let's simpl Choice A is incorrect because one solution requires different slopes.

Choice C is incorrect because no solution requires parallel lines with different constants.

Choice D is incorrect because we can always determine this by simplifying.