SOLUTION: 5x-6y+4z=15, 7x+4y-3z=19, 2x+y+6z=46 sove using cramer rule.

Algebra.Com
Question 1004053: 5x-6y+4z=15,
7x+4y-3z=19,
2x+y+6z=46
sove using cramer rule.

Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
5x-6y+4z=15,
7x+4y-3z=19,
2x+y+6z=46
solve using cramers rule
 
Write in the 1 coefficient:



Cramer's rule:
 
There are 4 columns,
 
1. The column of x-coefficients 
 
2. The column of y-coefficients 
 
3. The column of z-coefficients  
 
4. The column of constants:     
 
There are four determinants:
 
1. The determinant  consists of just the three columns
of x, y, and z coefficients. in that order, but does not
contain the column of constants.
 
. 
 
It has value .  I'm assuming you know how to find the
value of a 3x3 determinant, for that's a subject all by itself.
If you don't know how, post again asking how. 
 
2. The determinant  is like the determinant 
except that the column of x-coefficients is replaced by the
column of constants.   does not contain the column 
of x-coefficients.
 
.
 
It has value .
 
3. The determinant  is like the determinant 
except that the column of y-coefficients is replaced by the
column of constants.   does not contain the column 
of y-coefficients.
 
.
 
It has value .
 
4. The determinant  is like the determinant 
except that the column of z-coefficients is replaced by the
column of constants.   does not contain the column 
of z-coefficients.
 
.
 
It has value .
 
Now the formulas for x, y and z are
 



 
Edwin


RELATED QUESTIONS

Using determinants, solve the following equations simultaneously. 5x - 6y + 4z = 15 7x... (answered by ikleyn)
5x-6y+4z=15 7x+4y-3z=19... (answered by addingup,MathTherapy)
Solve the following equations simultaneously. 5x - 6y + 4z = 15 7x + 4y - 3z = 19 2x + (answered by MathLover1,Alan3354,greenestamps)
Solve the following equations using Cramer’s rule: 3x + 2y + 2z = 7 x + 4y + 4z = 9 6x (answered by lynnlo,jim_thompson5910)
Solve the following equations using Cramer’s rule: 3x + 2y + 2z = 7 x + 4y + 4z = 9 6x (answered by lynnlo)
Please help me solve this question 3w - 2x + 4y - 5z = 13 2w - 5x + 7y - 3z = 9 4w +... (answered by Fombitz)
7x+3y-4z=6, 2x-5y+6z=3, x+y+2z=4 using cramer's rule (answered by jim_thompson5910)
solve using cramer rule :- 3x+2y+4z=19 2x-y+z=3 6x+7y-z=7 x-y+2z=1 x+y+z=2 2x-y+z=5... (answered by ikleyn)
solve using cramer rule :- 3x+2y+4z=19 2x-y+z=3 6x+7y-z=7 x-y+z= 1 x+y+z=2 2x-y+z=5... (answered by ikleyn)