Question

If 2x-3y=7 and 14x-py=49 have infinitely many solutions then p=

Answer 1

Answer: p=21

Explanation: to get infinitely many solutions we need ,

a1/a2=b1/b2=c1/c2.

so,2/14=-3/-p=-7/-49.

therefore,-3/-p=1/7

-3×7=-p

-p=-21

p=21

Answer 2

Answer:

2x-3y=7 and 14x-py=49 have infinitely many solutions implies that 2/14=3/p=7/49 which implies that 1/7=3/p,ie. p=21

Explanation:The given equation has infinitely many solutions which implies that a1/a2=b1/b2=c1/c2 therefore 2/14=3/p= 7/49 implies that p=21