Which of the following coordinate points is the point of intersection of these two lines? y – 6x = -4 y – 2x = 8

Question

Which of the following coordinate points is the point of intersection of these two lines? y – 6x = -4 y – 2x = 8

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Eden 2 weeks 2021-10-03T14:34:06+00:00 1 Answer 0

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    2021-10-03T14:35:43+00:00

    For this case we have a system of two equations with two variables:

    y-6x = -4\\y-2x = 8

    Rewriting the system we have:

    y = 6x-4\\y = 2x + 8

    Equaling the equations we have:

    6x-4 = 2x + 8

    Subtracting 2x from both sides of the equation we have:

    6x-2x-4 = 8\\4x-4 = 8

    Adding 4 to both sides of the equation we have:

    4x = 8 + 4\\4x = 12

    Dividing by 4 on both sides of the equation we have:

    x = \frac {12} {4}\\x = 3

    We find the value of the variable y:

    y = 6x-4 = 6 (3) -4 = 18-4 = 14

    Thus, the system solution is:

    (x, y) :( 3,14)

    Answer:

    (x, y) :( 3,14)

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