Question

If x-ky=2 and 3x+ky= -5 has a unique solution than

Answer 1

Answer:

x = -0.75 and ky = -2.75

Step-by-step explanation:

3x + ky = -5

= 3x + ky + 7 = 2

As x - ky = 2,

3x + ky + 7 = x-ky

= 3x + 2ky + 7 = x

= 2x + 2ky + 7 = 0

= 2x + 2ky = -7

= 2(x + ky) = -7

= x + ky = -3.5

= x = -3.5 - ky (and) ky = -3.5-x

For 3x + ky = -5,

3(-3.5 - ky) + ky = -5

= -10.5 - 3ky + ky = -5

= -10.5 - 2ky = -5

= -10.5 - 2(-3.5-x) = -5

= -10.5 + (7+2x) = -5

= -3.5 + 2x = -5

= 2x = -1.5

= x = -0.75

After inserting x in the first equation,

-0.75 - ky = 2

= ky + 2= -0.75

= ky = -2.75

Therefore, x = -0.75 and ky = -2.75