iii. y = (5x –
10)/2 ; 4x + 5 = - y
Sol. y = (5x – 10)/2
∴ 2y = 5x – 10
∴ – 5x + 2y = – 10
Changing the sign,
∴ 5x – 2y = 10
Now, 4x + 5 = – y
∴ 4x + y = – 5
D
|
=
|
5
|
-2
|
=
|
(5 × 1) – (4 × -2)
|
=
|
5 + 8
|
=
|
13
|
|
|
4
|
1
|
|
|
|
|
|
|
DX
|
=
|
10
|
-2
|
=
|
(10 × 1) – (-5 × -2)
|
=
|
10 – 10
|
=
|
0
|
|
|
-5
|
1
|
|
|
|
|
|
|
DY
|
=
|
5
|
10
|
=
|
(5 × -5) – (4 × 10)
|
=
|
-25 - 40
|
=
|
-65
|
|
|
4
|
-5
|
|
|
|
|
|
|
By Cramer's rule,
x
|
=
|
Dx
|
=
|
0
|
=
|
0
|
|
|
D
|
|
13
|
|
|
y
|
=
|
Dx
|
=
|
-65
|
=
|
-5
|
|
|
D
|
|
13
|
|
|
∴ x = 0 and y = – 5 is the solution of given
simultaneous equations.