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3 years ago

How many intersections are there of the graphs of the equations below? 1/2x + 5y = 6 3x + 30y = 36

1 answer:

7 0

The number of intersections of the graphs of the equations is the number of solutions of the system.

The system is:

(1/2)x + 5y = 6

3x + 30y = 36

If you multiply the first equation times 6 you get to:

6(x/2) + 6(5y) = 6(6)

=> 3x + 30y = 36

And that is the same second equation, that means that the system is indetermined.

Being the two equations the same, the two graphs are superposed.

So there are infinite intersections.

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<u>Answer:</u>

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