One equation of a pair of dependent linear equation


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One equation of a pair of dependent linear equations is -5x+7y=2.the second equation can be?

Answered by admin @



a1/a2 = b1/b2 = c1/c2 = 1/k

a1 = -5

b1 = 7

c1 = -2

-5/a2 = 7/b2 = -2/c2 = 1/k

It can be written as

a2 = -5k, b2 = 7k, c2 = -2k

Where k is any arbitrary constant

Putting k =2

Then

a2 = -10, b2 =14, c2 = -4

The required equation of line becomes,

Implies 10x - 14y +4 = 0


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