Show that the equations (a) x = 2 + t, y = 3 + 2t and (b) x = 3 – 5t, y = 5 – 10t represent the same line.​

Question

Show that the equations
(a) x = 2 + t, y = 3 + 2t and
(b) x = 3 – 5t, y = 5 – 10t represent the same line.​

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Katherine 1 month 2021-08-11T10:03:36+00:00 1 Answer 0 views 0

Answers ( )

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    2021-08-11T10:04:45+00:00

    Step-by-step explanation:

    We have,

    part (a),

    x=2+t ___ (1)

    y=3+2t ___ (2)

    by equation (1) and (2) to,

    y=2x−1 ___ (A)

    part (b),

    x=3−5t ___ (3)

    y=5−10t ___ (4)

    by equation (3) and (4) to,

    y=2x−1 ___ (B)

    now,

    equation (A) = equation (B)

    Hence proved.

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