Question

5. For what value of k the following pair of linear
equations has unique solution?
7x + 8y = k
9x - 4y = 12​

Answer 1

simple yr

$\frac{a1}{a2} not \: equal \frac{b1}{b2}$ for uniques sol

that's why k is not dependent on this .

for any value of k .system of equations have unique sol

Answer 2

Answer: For all value of k the equations may have unique solution.

Step-by-step explanation:

Given equation of line

7x + 8y = k

7x + 8y - k = 0

Given equation of line

9x - 4y = 12​

9x - 4y - 12 = 0

Comparing both equation with

a1x + b1y + c1 = 0

a2x + b2y + c2 = 0

we get

a1 = 7

b1 = 8

c1 = -k

a2 = 9

b2 = -4

c2 = -12

a1/a2 = 7/9

b1/b2 = 8/-4

a1/a2 is not equal to b1/b2

Hence we can have unique solutions.

Hence for all value of k the equations may have unique solution.

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