Question

If the given set of eqution has no solution tuen find k .......3X - (k +1) Y =3 , 9X - 3Y = 6​

Answer 1

Answer:

Mathematically the equations Written are two linear (straight lines) equations and a solution means A point where these two intersects point is ( values of x,values of y)

Since for no solution logically Both the lines should have same slopes i.e. slope Of first line should be equal To slope of the second line Therefore ;

Slope of first line = -k/2 = m1

Slope of second line = -3 = m2

Now

Put m1=m2

That means K/2 =3 now k =6

For k=6 there is no solution.

For solution any value Of k except 6 will give the solution .

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Answer 2

$3x - (k + 1)y = 3$

$9x - 3y = 6$

$9x - (3k + 3)y = 3$

$k = - 3$