Find the equation of a straight line through the point of intersection of the lines `4x-3y=0\ a n d\ 2x-5y+3=0` and parallel to `4x+5y+6=0.`

Explanation

Line through the intersection of`4x−35=0` and `2x−5y+3=0 `is


`(4x−3y)+lambda(2x−5y+3)=0 ...`(i)


or,`x(4x+2lambda)−y(3+5lambda)+3lambda=0`


And the required line is parallel to `4x+5y+6`


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