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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Answers ( )
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.