3x + y = 1; 2x = 11y + 3

(vi) 3x + y = 1; 2x = 11y + 3

Sol. 3x + y = 1

2x = 11y + 3

∴  2x – 11y = 3

D	=	3	1	=	(3 × -11) – (2 × 1)	=	-33 - 2	=	-35
		2	-11

DX	=	1	1	=	(1 × -11) – (3 × 1)	=	-11 – 3	=	-14
		3	-11

DY	=	3	1	=	(3 × 3) – (2 × 1)	=	9 - 2	=	7
		2	3

By Cramer's rule,

x	=	Dx	=	-14	=	2
		D		-35		5

y	=	Dy	=	7	=	-1
		D		-35		5

∴ x = 2/5  and y = -1/5  is the solution of given simultaneous equations.