Question

Find the values of p and q for which the following system of equations will have infinite number of solutions :
2x+3y=7,(p+q)x+(2p-q)y=21

Answer 1

Answer:

Here, the given system of equations,

2x + 3y = 7,

(p+q)x + (2p-q)y = 21,

If the system has infinite number of solutions,

Then,

--------(1),

And,

------(2)

Equation (1) + Equation (2),

3p = 15 ⇒ p = 5,

From equation (1),

q = 1