Question
Asked Sep 17, 2019
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Use Cramer's rule and solve

6x-4z=26

7x+8y+5z=122

9x-9y=54

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Expert Answer

Step 1

Use Cramer’srule and solve.

4
26
6
0
х
122 is in the form of
From the given system of linear equations,7
8
5
у
9 -9
0
54
Z
AX B
6
0
4
Thus, the coefficient matrix A=| 7
9 -9
6
0
-4
Find the determinant of A 7
8
9 -9
0
6
-4
0
\4= 7
9 -9
5
0
6(0+45)-0+(-4)(-63-72)
810
=
OC
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Image Transcriptionclose

4 26 6 0 х 122 is in the form of From the given system of linear equations,7 8 5 у 9 -9 0 54 Z AX B 6 0 4 Thus, the coefficient matrix A=| 7 9 -9 6 0 -4 Find the determinant of A 7 8 9 -9 0 6 -4 0 \4= 7 9 -9 5 0 6(0+45)-0+(-4)(-63-72) 810 = OC

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Step 2

Solve for x, to replace the x-column in coefficient matrix by constant column.

-4
26
0
Ax 122 8
5
54
-9 0
-26 (0+45)+0-4(-1098- 432)
=1170 +6120
= 7290
Δε
x
7290
810
=9
1|
help_outline

Image Transcriptionclose

-4 26 0 Ax 122 8 5 54 -9 0 -26 (0+45)+0-4(-1098- 432) =1170 +6120 = 7290 Δε x 7290 810 =9 1|

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Step 3

Solve for y, to replace the y-column in coeffici...

6 26 -4
Ay 7 122 5
|9
54
0
=6(0+270)+ 26(45)-4(378-1098)
1620 1170+2880
= 5670
Ay
y =
5670
810
=7
help_outline

Image Transcriptionclose

6 26 -4 Ay 7 122 5 |9 54 0 =6(0+270)+ 26(45)-4(378-1098) 1620 1170+2880 = 5670 Ay y = 5670 810 =7

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