Thank you for the opportunity to help you with your question!

6x+3y=27 x 2 = 12x + 6y = 54

-4x+7y=27 x 3 = -12x + 21y = 81

on adding both the equations, x gets eliminated.

we get: 27 y = 135

so y =5

and putting in equation 1, x = 2

so x = 2

y = 5

Please let me know if you need any clarification for the doubts. I'm always happy to answer your questions. Looking forward to help you again. thank you. :)