Question

find the values of P and q for which the
following system of equation has infinitely
may solution
2x-3y=7
(P+q)x-(p+q-3) y=40+q​

Answer 1

Step-by-step explanation:

2x + 3y = 7

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

For equations to have infinite solutions:

•  a1/a2=b1/b2=c1/c2
• 2/p+q=3/2p-q=7/21
• 2/p+q=3/2p-q=1/3
• p+q=6......(I)
• and
• 3/2p-q=1/3
• =2p-q=9.....(ii)
• 2p+2q=12
• 4p-2q=18
• ---------
• 6p=30
• p=5
• substitute p in (I)
• p+q=6
• 5+q=6
• q=1
• therefore ,p=5 and q=1