The pair of linear equations `3x+2y=5;2x-3y=7` have (a)One solution (b) Two solutions (c)Many solutions (d) No solution

Options

A. one soution
B. two solution
C. many solution
D. no solution

Answer

one solution

Explanation

The given pair of linear equations are `3x+2y=5 and 2x – 3y = 7`

`:. a1 =3 , b1= 2 c1= 5`

And `a2 = 2 ,b2=(-3) and c2 = 7`

As` (a1)/(a2) = 3/2`

And` (b1)/(b2) = 2/(-3) = - ⅔`

`:. (a1)/(a2) is not equal to (b1)/(b2)`

Therefore the given equations has unique solution

Correct option is A