Pair Of Linear Equations In Two Variables

Question

Given the linear equations 2x + 3y - 8 = 0, write another linear equation in two variables such that the geometrical representing of the pair so formed is :

(i) intersecting lines

(ii) parallel lines

(iii) coincident lines.

Solution

We have,

2x + 3y - 8 = 0

(i) Another linear equation in two variables such that the geometrical representation of the pair so formed is intersecting lines is

3x - 2y - 8 = 0

(ii) Another parallel lines to above line is

4x + 6y - 22 = 0

(iii) Another coincident line to above line is

6x + 9y-24 = 0. Ans.