Question

Find the value of K so that the following system of equation has infinitesolution.3x –y –5 = 0 ; 6x –2y + K = 0

Answer 1

Step-by-step explanation:

for infinite solutions , a1/a2 = b1/b2 = c1/c2

here a1 = 3, b1 = -1 and c1 = -5

a2 = 6, b2 = -2 and c2 = k

a1/a2 = c1/c2

=> 3/6 = -5/k

upon cross multiplication we get

3k = - 30

=> k = -10