Find the point of intersection of the following pairs of lines: `2x-y+3=0\ a n d\ x+y-5=0`

Explanation

The equations of the lines are as follows: 2x − y + 3 = 0 … (1)

x + y − 5 = 0 … (2)

Let us find the point of intersection of pair of lines

. By solving (1) and (2) using cross – multiplication method, we get

`x/(5-3)=y/(3+10)=1/(2+1)`

`x=2/3 and y=13/3`