Find the point of intersection of the following pairs of lines: `b x+a y=a b\ a n d\ b x+b y=a bdot`

Explanation

Given: The equations of the lines are as follows: bx + ay − ab = 0… (1)

ax + by = ab ⇒ ax + by − ab = 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/(-a^2b+ab^2)=y/(-a^2b+ab^2)=1/(b^2-a^2)`

`x=(ab)/(b+a ) and y=(ab)/(b+a)`

∴ The point of intersection is (ab/a + b, ab/a + b)