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16 November, 19:58

How many intersections are there of the graphs of the equations below? One-halfx + 5y = 6 3x + 30y = 36 none one two infinitely many

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  1. 16 November, 21:23
    0
    infinitely many

    Step-by-step explanation:

    1/2x + 5y = 6 ⇒ x+10y=12 3x + 30y = 36 ⇒ x+10y=12

    As we see, these are equal lines, they overlap, so there are infinitely many intersections
  2. 16 November, 21:56
    0
    infinitely many

    Step-by-step explanation:

    You have the system

    (1/2) x + 5y = 6

    3x + 30y = 36

    Multiplying the first equation by 6 results in 3x + 30y = 36, which is exactly the same as the second equation. The two graphs coincide, and so there are infinitely many solutions to this system
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