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How many Solutions does the following system have?

(3x+2y= 12
6x+4y = 24
a) Infinitely many solutions
b) Two Solutions
c) One Solution
d) No Solutions

1 answer

The two equations can be simplified by dividing the second equation by 2:

3x + 2y = 12
3x + 2y = 12

Since the two equations are identical, they represent the same line. Therefore, there are infinitely many solutions.

The answer is: a) Infinitely many solutions
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