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What is equation of straight line pass through the point of intersection of the line `x/2+y/3=1` and `x/3+y/2=1`, and parallel the `4x+5y-6=0` ?

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What is equation of straight line pass through the point of intersection of the line `x/2+y/3=1` and `x/3+y/2=1`, and parallel the `4x+5y-6=0` ?
A. `20x+25y-54=0`
B. `25x+20y-54=0`
C. `4x+5y-54=0`
D. `4x+5y-54=0`
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Correct Answer - A
Given equations : `x/2+y/3=1 and x/3+y/2=1`
Point of intersection `=(6/5, 6/5)`
Let equation of line be `4x+5y+k=0`
Putting `(6/5, 6/5), k= - 54/5`
`:.` Equation of line is `20x+25y-54=0`
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