Question

Find what value of k will the system of equation

x+2y=5 3x+ky-15=0 [no solution]
10th class maths

Answer 1

this absolutely correct answer

Answer 2

k = 6 is the system of the equation having a unique solution.

Step-by-step explanation:

As per the question, the given system of equations can be written as below:

x + 2y − 5=0

3x + ky − 15 = 0

These equations are taken from,

$a_{1} x + b_{1} y + c_{1} = 0$

$a_{2}x + b_{2}y + c_{2} = 0$

Where,

a_{1} = 1

b_{1}  = 2

c_{1} = -5

and,

a_{2} = 3

b_{2} = k

c_{2} = -15

Therefore,  given system of equations will have a unique solution, if

1/3 ≠  2/k ⇒ k  ≠ 6

Learn more: find the value of k

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