4x + 3y – 4 = 0; 6x = 8 – 5y

(ii) 4x + 3y – 4 = 0; 6x = 8 – 5y

Sol. 4x + 3y – 4 = 0
 4x + 3y = 4
6x = 8 – 5y
 6x + 5y = 8
D
=
4
3
=
(4 × 5) – (6 × 3)
=
20 – 18
=
2


6
5







DX
=
4
3
=
(4 × 5) – (8 × 3)
=
20  - 24
=
- 4


8
5







DY
=
4
4
=
(4 × 8) – (6 × 4)
=
32  - 24
=
8


6
8







By Cramer's rule,
x
=
Dx
=
-4
=
-2


D

2



y
=
Dx
=
8
=
4


D

2




x = - 2  and y = 4 is the solution of given simultaneous equations.

No comments:

Post a Comment