Question

For what value of pand q respectively , do the given
system of equations have infinitely many solutions...?
3x+2y=7..!
(p+q)x+2py=28..!
Answer the questions​

Answer 1

Given equations are

2x+3y=7 ...(i)

2px+py=28−qy⇒

2

p

x+

4

p+q

y=7 ...(ii)

For the pair of equations have infinitely many solutions coefficient of x and y should be same.

On comparing (i) and (ii), we get

2

p

=2 and

4

p+q

=3

⇒p=4

and p+q=12⇒q=12−p=12−4=8

Hence, p=4 and q=8