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If the equation 2x+3y+1=0,3x+y-2=0,a n d...

If the equation `2x+3y+1=0,3x+y-2=0,a n da x+2y-b=0` are consistent, then prove that `a-b=2.`

Text Solution

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`2x +3y +1=0 , 3x+y-2=0`
`rArr x=1,y=-1`
if the equations are consistent, then
`a(1) +2(-1)-b=0`
`" or " a-b=2`
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