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7 February, 12:33

raph f (x) = 2x-1 and g (x) = -x+5 on the same coordinate plane. What is the solution to the equation f (x) = g (x) ?

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  1. 7 February, 13:00
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    (2, 3)

    Step-by-step explanation:

    To find the solution to f (x) = g (x) equate both, that is

    2x - 1 = - x + 5 (add x to both sides)

    3x - 1 = 5 (add 1 to both sides)

    3x = 6 (divide both sides by 3)

    x = 2

    Substitute x = 2 into either f (x) or g (x) for corresponding value of y

    f (2) = (2 * 2) - 1 = 4 - 1 = 3

    solution is (2, 3)
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