Question

If the pair of linear equations ax+2y=7 and 2x+3y=8 has a unique solution, then a ≠ ......,select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) 3/4
(b) -3/4
(c) 4/3
(d) -4/3

Answer 1

(c)4/3 is the correct answer.

Answer 2

Option ( c ) is correct.

Explanation :

Compare given pair of linear

we equations

ax + 2y - 7 = 0 ---( 1 )

2x + 3y - 8 = 0 ----( 2 ) with

a1x + b1y + c1 = 0 and

a2x + b2y + c2 = 0

a1 = a , b1 = 2 , c1 = -7 ,

a2 = 2 , b2 = 3 , c3 = -8,

a1/a2 ≠ b1/b2

[ Given unique solution ]

=> a/2 ≠ 2/3

=> a ≠ 4/3

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