Answer :

Given:

4x − 7y − 3 = 0 … (1)


2x − 3y + 1 = 0 … (2)


To find:


Equation of line passing through the point of intersection of lines.


Concept Used:


Point of intersection of two lines.


Explanation:


Solving (1) and (2) using cross - multiplication method:



x = - 8 , y = - 5


Thus, the point of intersection of the given lines is ( - 8, - 5).


Now, the equation of a line having equal intercept as a is


This line passes through ( - 8, - 5)



- 8 - 5 = a


a = - 13


Hence, the equation of the required line is or x + y + 13 = 0


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