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