The correct option is
D x=3,y=2Given,
5x+6y=7x+3y=3(x+6y−6)By taking first and third we get,
5x+6y=3(x+6y−6)
⇒5x+6y=3x+18y−18
⇒2x−12y=−18 ....(i)
By taking last two we get,
7x+3y=3(x+6y−6)
7x+3y=3x+18y−18
⇒4x−15y=−18 .....(ii)
On multiplying equation (i) by 2. we get,
4x−24y=−36 ....(iii)
Subtracting (ii) from (iii). we get,
4x−24y−(4x−15y)=−36−(−18)
∴−9y=−18⇒y=2
On substituting y=2 in (i). we get,
2x−12(2)=−18
⇒2x=6
∴x=3
∴x=3,y=2