Line H is represented by the following equation: 2x + 2y = 8 What is most likely the equation for line K so the set of equations

Question

Line H is represented by the following equation: 2x + 2y = 8

What is most likely the equation for line K so the set of equations has infinitely many solutions?

x + 2y = 2
x + y = 4
2x + y = 6
x − y = 8

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Farah 1 week 2021-07-20T04:44:13+00:00 1 Answers 5 views 0

Answers ( )

    0
    2021-07-20T04:45:39+00:00

    Answer:

    B

    Step-by-step explanation:

    Line H is represented by the equation:

    2x+2y=8

    And we want to find Line K such that the set of equations has infinitely many solutions.

    Remember the three solution sets for linear equations:

    • If the two are parallel, they have no solutions.
    • If the two are not parallel, they will intersect and thus have only one solution.
    • If the two are the exact same line, then they will have infinitely many solutions.

    From Line H, we can divide both sides by two. This yields the equivalent equation:

    x+y=4

    Therefore, the new equation and Line H are the same line. Thus, they will have infinitely many solutions.

    The answer is B.

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