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Find the co-ordinates of the point on line ๐‘ฅ =๐‘ฆโˆ’12 =๐‘งโˆ’23 whose y co-ordinate is 3 times the x co-ordinate.

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Question

Find the co-ordinates of the point on line `x=(y-1)/2=(z-2)/3` whose y co-ordinate is 3 times the x co-ordinate.

Sum
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Solution

`x=(3x-1)/2=(z-2)/3`

`x=(3x-1)/2`

2x = 3x – 1

1 = x

y = 3(1)

y = 3

x = `(z-2)/3`

`1=(z-2)/3`

z = 5

Point (1, 3, 5) 

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