Rewrite the given parametric equations in Cartesian from x(t) = 2t– 1 y(t) = 5t

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Rewrite the given parametric equations in Cartesian from x(t) = 2t– 1 y(t) = 5t

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Calantha 2 months 2021-08-02T09:39:58+00:00 1 Answers 3 views 0

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    2021-08-02T09:41:13+00:00

    Hi there!

    \large\boxed{(-\frac{5}{3},-\frac{5}{3})}

    We can begin by setting the two expressions equal to solve for t:

    2t – 1 = 5t

    Subtract 2t from both sides:

    -1 = 3t

    Divide both sides by 3:

    t = -1/3

    Plug in this value of t into x(t) and y(t):

    x(-1/3) = 2(-1/3) – 1 = -2/3 – 1 = -5/3

    y(-1/3) = 5(-1/3) = -5/3

    Thus:

    (-5/3, -5/3) are the corresponding coordinates.

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