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11 May, 05:17

Write an equation of the line whose x-intercept and y-intercept are each twice the corresponding intercepts of the graph of the equation 5x - 2y = 10

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  1. 11 May, 08:13
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    5x - 2y = 20

    Step-by-step explanation:

    Find x-intercept by substituting y for 0

    5x - 2y = 10

    5x - 2 (0) = 10

    Isolate x to get x-intercept.

    5x = 10

    x = 2

    (2, 0)

    Twice of this intercept is (4,0).

    Find y-intercept by substituting x for 0

    5x - 2y = 10

    5 (0) - 2y = 10

    Isolate y to get y-intercept.

    -2y = 10

    y = - 5

    (0, - 5)

    Twice of this intercept is (0, - 10).

    A line should have the y-intercept - 10 and x-intercept 4.

    In original equation, double the 10.

    Test for x and y intercepts.

    5x - 2y = 20

    -2y = 20

    y = - 10

    5x - 2y = 20

    5x = 20

    x = 4

    An equation is 5x - 2y = 20.
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