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Determine the number of solutions for the system 2x+3y=5 and -9y=6x-15

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9514 1404 393

Answer:

infinite number of solutions

Explanation:

The two equations describe the same line.

Adding 9y+15 to the second equation makes it be ...

15 = 6x +9y

Dividing that by 3 gives you ...

5 = 2x +3y . . . . . . identical to the first equation

The lines intersect at every point, so there are an infinite number of solutions.

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User Pablo Reyes
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