Question

$\huge \fbox \red{❥ Question}$

On comparing the ratios a1/a2, b1/b2, and c1/c2, find out whether the following pair of linear equations are consistent, or inconsistent.

(i) 3x + 2y = 5 ; 2x – 3y = 7

(ii) 2x – 3y = 8 ; 4x – 6y = 9



(SOLVE THE BOTH QUESTIONS)​

Answer 1

Answer:

$\huge \fbox \red{❥ Answer}$

Step-by-step explanation:

hope it will help you buddy

Answer 2

Answer:

(i) a1/a2=3/2,b1/b2=2/-3,c1/c2=5/7

∵a1/a2≠b1/b2≠c1≠c2

the lines intersect and have an unique consistent solution.

(ii)a1/a2=2/4=1/2,b1/b2=-3/-6=1/2,c1/c2=8/9

∵a1/a2=b1/b2≠c1/c2

the lines are parallel and have no solutions, i.e. the equations are an inconsistent pair