Question

If the system of equations 6x + py = 21 and qx + 5y = 7 has infinitely many solutions, what is the value of p/q?

Answer 1

Given:

6x + py = 21

qx + 5y = 7

The system of equations have infinite solutions

To Find:

The value of p/q

Solution:

6x + py = 21 --------------- [1 ]

qx + 5y = 7   --------------- [2]

[2] x 3 :

3qx + 15y = 21  --------------- [3]

Comparing [2] and [3]

3q = 6

q = 2

p = 15

Find the value of p/q:

p/q = 15/2

AnswerL 15/2

Answer 2

Answer:

L = 15/2...............