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Use Cramers Rule to solve the system 2x – 3y = 11 -6x + 8y = 34
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Use Cramers Rule to solve the system
2x – 3y = 11
-6x + 8y = 34
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Mathematics
7 months
2021-08-11T00:07:22+00:00
2021-08-11T00:07:22+00:00 2 Answers
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Answers ( )
Answer:
(x , y ) = ( -95, -67)
Step-by-step explanation:
Given system :-
2x – 3y = 11
-6x + 8y = 34
Find :- Solutions of system by using Cramers rule.
Solution :-
To solve the system using Cramer’s rule, list all needed determinants.
D = 8 × 2 – ( -3) ( -6 )
= 16 – 18 = -2
= 88 + 102 = 190
= 68 + 66 = 134
Plug the value into the formula:-
x =
, y =
.
Divide
x = -95 , y = -67
(x , y ) = ( -95, -67)
Step-by-step explanation:
given :
2x – 3y = 11
-6x + 8y = 34
find : the solutions of the system by using Cramers Rule.
solutions:
in the matrix 2×2 form =>
[ 2 -3] [x] [11]
=
[-6 8] [ y] [34]
D =
| 2 -3 |
|-6 8 |
= 8×2 – (-3) (-6)
= 16-18 = -2
Dx = | 11 -3 |
| 34 8 |
= 11×8 – (-3) (34)
= 88 + 102
= 190
Dy = | 2 11 |
|-6 34 |
= 2×34 – (-6) (11)
= 68 + 66
= 134
x = Dx/D = 190/-2 = –95
y = Dy/D = 134/-2 = –67
the solutions = {-95, –67}