2X+3Y=7 AND 2PX+PY=28-QY FIND P AND Q
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Step-by-step explanation:
Answer
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,q=8
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