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13 February, 09:51

Which statement describes this system of equations?

9x - 6y = 15

3x - 2y = 5

The equations in the system are equivalent equations,

There is no solution to the system of equations

The system of equations has one solution at (3, 2).

The system of equations has one solution at (5,5).

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Answers (2)
  1. 13 February, 10:08
    0
    1st option

    Why?

    take the equation,

    3x-2y=5

    multiply both sides by 3,

    9x-6y=15

    you can again divide both sides by 3 to gain

    previous equation

    That means they are equivalent and always have same solutions or roots
  2. 13 February, 10:08
    0
    The Answer is: The equations in the system are equivalent equations

    Step-by-step explanation:

    The equations are:

    9x - 6y = 15

    3x - 2y = 5

    Multiply the bottom equation by 3:

    3 (3x) - 3 (2y) = 3 (5)

    9x - 6y = 15, which is the same as the first equation, so the equations are equivalent and have infinite solutions.
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