4x+3y-4=0;6x=8-5y.. solve the following simultaneous equations using Cramer rule
Answers
Answered by
8
Answer:
X=-2
Y=4
Step-by-step explanation:
4X+3Y-4=0
4X+3Y=4
3Y=4-4X
Y=(4-4X)/3
THEN
6X=8-5Y
6X=8-5(4-4X)/3
6X=8-20(1-X)/3
18X=24-20(1-X)
18X=24-20+20X
18X-20X=4
-2X=4
X=-2
SO THAT,
Y=(4-4*-2)/3
Y=12/3=4
Answered by
2
Hii
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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.
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