Find values for p and q so that the equation has infinitely many solutions.
px–2=4x+x+q
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Step-by-step explanation:
This system of equation is of the form
a1x+b1y=c1
a2x+b2y=c2
where a1=2,b1=3,c1=7
and a2=p+q,b2=2p−q and c2=21
For infinitely many solutions, we must have
a2a1=b2b1=c2c1
The given system of equations will have infinite number of solutions, if
p+q2=2p−q3=217
⇒p+q2=2p−q3
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