From equation (1):

⇒6y=5x−2

⇒y=

6

5x−2

Substitute the value of y in equation (2) :

⇒6x−5y=9

⇒6x−5(

6

5x−2

)=9

⇒36x−25x+10=54

⇒11x=54−10

⇒x=

11

44

=4

Now, Substitute x=4 in equation (1)

⇒5x−6y=2

⇒5(4)−6y=2

⇒20−2=6y

⇒18=6y

⇒y=

6

18

=3

∴ the solution is x=4 and y=3

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