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

Question

Philoid · Accepted Answer

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