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A person standing at a junction (crossin...

A person standing at a junction (crossing) of two straight paths represented by the equations `2x-3y+4=0 and 3x+4y-5=0` seek to reach the path whose equation is `6x-7y+8=0` in the least times. Find the equation of the path that he should follow.

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The correct Answer is:
`119x+102y=125`
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