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​

for infinite solutions condition is

[3/(p+q)]=(2/2p)=1/4

from this equation 2/2p=1/p=1/4

so,p=4 and now for q,

[3/(4+q)]=1/4

4+q=12

so,q=12-4=8

so,we get p=4 and q=8

thanks