Question

on comparing the ratios A1/ A2 ,B1 /B2, C1 /C2, find p find out whether the lines representing the following pairs of linear equations are consistent or inconsistent:-(i.2x-3y=8; 4x- 6y=9​ guys solve it clearly

Answer 1

Step-by-step explanation:

Convert the equation in form of a1x + b1y + c1 = 0 and a2x+ b2y + c2 = 0

We get

3x + 2y - 5 =0 and 2x – 3y – 7 =0

Compare the equation with

We get

a1 = 3, b1 = 2, and c1 = -5

a2 =2 b2 =-3 and c2 = -7

We get

Hence both lines are Consistent

(ii) 2x – 3y = 8 ; 4x – 6y = 9

Convert the equation in form of a1x + b1y + c1 = 0 and a2x+ b2y + c2 = 0

We get

2 x – 3 y - 8 = 0 and 4x – 6 y – 9 =0

Compare the equation with

We get

a1 = 2, b1 = -3, and c1 = - 8

a2 = 4 b2 = - 6 and c2 = - 9

So we get