Question

for what value of k the following system of linear equation have unique solution 2 X + K is equals to 1 and 3 x minus 5 Y = 7

Answer 1

Hii friend,

2X+KY = 1..........(1)

3X -5Y = 7...........(2)

These equations are in the Form of A1X+B1Y +C1 = 0 And A2X+B2Y+C2 = 0

Where,

A1 = 2 , B1 = K , C1 = -1

A2 = 3 , B2= -5 and C2 = -7

For unique solution we must have,

A1/A2 is not equal to B1/B2

2/3 not = K/-5

-5 × 2 = 3 × K

3K = -10

K = -10/3