Question

Find the values of p and q for which the following system of linear equations has infinite number of solutions
2x + 3y = 7 and (p+q) x + ( 2p-q) y = 3 (p+q+1)​

Answer 1

Infinite solutions =a¹/a²=b¹/b²=c¹/c²

So

2/p+q=3/2p-q=7/3p+3q+3

So by first solving

2(2p-q)=3(p+q)

4p-2q=3p+3q

p=5q ¹

Also

7(2p-q)=3(3p+3q+3)

14p-7q=9p+9q+9

5p=16q+9

Value of P from ¹

25q=16q+9

9q=9

q=1

And p=5