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.

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