Question

The following pair of linear equations 2x -3 y =8 and4 x –6 y =9 have ………

solutions.​

Answer 1

Answer:

2x-3y=8 (1)

x-6y=9 (2)

(2)×2

2x-12y=18 (3)

substract (3) from (1)

9y= -10

y= -10/9

put y= -10/9 in equation (1)

2x-3(-10/9)=8

2x+10/3=8

2x=8-10/3

2x=24-10/3

2x=14/3

x=14/6

x=7/3

Answer 2

By elimination method:-

2x - 3y = 8 __(2)

4x - 6y = 9 __(1)

then,

4x-6y=16

4x-6y=9

(-). (+). (-)

----------------

0. 0. = 7

so,

the conclusion is that the pair of equation have no solution.