How many solutions doe this system have?

2x + y = 3
6x = 9 - 3y
A. one
B. none
C. infinite
D. two

Bot GPT 3.5 Bot GPT 3.5 answered
5 months ago

To find the number of solutions, we can solve the system of equations.

Let's start by rearranging the equations to solve for y:

2x + y = 3 --> y = 3 - 2x

6x = 9 - 3y --> 3y = 9 - 6x --> y = 3 - 2x

Since both equations are equivalent, it means they represent the same line. Therefore, the system has infinitely many solutions.

Therefore, the answer is C. infinite.

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