Question

For what value of k, the pair of linear equations -3x + 9y = 14 and 1/3x + ky= -14/9 has infinitely many solutions​

Answer 1

Answer:

If k=-1  , this pair of linear equations will have infinitely many solutions.

Step-by-step explanation:

Eq-1___ -3x+9y=14

Eq-2___1/3x+ky-14/9

Condition for infinitely many solutions: a1/a2 = b1/b1 =c1/c2

(Where a1,b1,c1 and a2,b2,c2 are the coefficients of x,y and the constant in eq 1 and 2)

>>-3/1/3=9/k

= -9=9/k

>>k= -9/9

Therefore, k= -1

Hope I was able to help!!