1.

Show that the line `x-y-6=0,4x-3y-20=0a d n6x+5y+8=0`are concurrent. Also, find their common point of intersection.

Answer» `x-y-6=0`
`x=y+6-(1)`
`4x-3y-20=0`
from equation 1
`4(y+6)-3y-20=0`
`y+4=0`
`y=-4`
putting this value in equation 1
`x=-4+6`
`x=2`
`=6(2)+5(-4)+8`
`=12-20+8=0`
Common point of intersection=[2,-4].


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