Question
Asked Sep 6, 2019
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Find the point of intersection of the pair of straight lines.

8x + 4y

22

−9x + 7y

4

(x, y) =



Determine the value of k for which the system of linear equations

2x

− 

y

4

4x

ky

6

has no solution.

k =



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Expert Answer

Step 1

Finding the point of intersection of the given pair of straight lines.

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Finding the point of intersection of the given pair of straight lines 8x 4y 22 (i) = -9x 7y 4 (ii) 72x + 36y Now,9 X (i) (iii) 198 8 x (ii) 72x56y = 32 (iv) (72x 36y)-72x 56y) = 198+ 32 (ii(iv) 92y 230 230 y 92 5 y 2 5 :. (i) = 22 8x 4 8x +10 = 22 > 8x = 12 12 8 3 X - 2 un l

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Step 2

We know that,

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ax byc 0 and dx ey f = 0 Then the above linear equation in two variables will have no solution under the C following condition i.e. d

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Step 3

Given,

...
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2x - y42x - y - 4 = 0 4x + ky 6 4x + ky - 6 = 0 Now comparing the above equation with the equation of the step2, we get a 2,b -1,c =-4 and d 4, e = k,f = -6 So, 4 6 2 k 4 2k 4 k -2 Therefore, the value of k is -2 T NI

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Tagged in

Math

Algebra

Equations and In-equations