Find the point of intersection of the following pairs of lines:

bx + ay = ab and ax + by = ab

Given:


The equations of the lines are as follows:


bx + ay = ab


To find:


Point of intersection of pair of lines.


Concept Used:


Point of intersection of two lines.


Explanation:


bx + ay − ab = 0 … (1)


ax + by = ab ax + by − ab = 0 … (2)


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




and


Hence, the point of intersection is


1