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1 November, 15:05

Which statement describes the graph and system of equations?

6x+4y=2

3x+2y=1

A) Consistent and independent

B) Inconsistent

C) Coincident

D) Not enough information

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Answers (1)
  1. 1 November, 15:58
    0
    C. Consistent

    Step-by-step explanation:

    We have the system of equations given by,

    6x + 4y = 2

    3x + 2y = 1.

    Dividing the first equation by 2, we get the system as,

    3x + 2y = 1

    3x + 2y = 1

    As, we see that the system of equations has only one equation 3x + 2y = 1.

    And, this equation will have infinitely many solutions.

    Hence, the given system is 'Consistent and Dependent'.

    Thus, option C is correct.
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