Q12 of 30 Page 10

Find the point of intersection of the pairs of lines 2x – y + 3 = 0 and x + y – 5 = 0.

Given:


The equations of the lines are as follows:


2x − y + 3 = 0 … (1)


x + y − 5 = 0 … (2)


Concept Used:


Point of intersection of two lines.


To find:


Point of intersection of pair of lines.


Explanation:


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




⇒ x = 2/3 and y = 13/3


Hence, the point of intersection is

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