# 2x+3y+7z=13 3x+2y-5z=-22 5x+7y-3z=-28

2x+3y+7z=13 3x+2y-5z=-22 5x+7y-3z=-28

## Solution by Cramer's rule

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To solve xxxx xxxxxxxx xxx xx xxxx xxxxxxxx xxxxx

I attach xxx xxxxxxxx xx the xxxx of a file.

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xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

xx solve xxx xxxxx xxxxxxxx xxx xx xxxx Cramer's xxxxx

x**xx x x**

A is xxx xxxxxxxxxxx xxxxxxxx

X is a column xxxxxxxx

x is a vector.

xxx xxxxxxxx is xx x xx / A

xxx xxxx case becomes,**xx**

**A = **

xxx These xxxxxxxxx obtained xxxx the xxxxxxxxx

xxxx xxxxxxxx xx replacing xxx xxxxx xxxxxx of xxx matrix x xx xxx constant vector B

xxxx xxxxxxxx by xxxxxxxxx xxx xxxxxx xxxxxx xx xxx xxxxxx x by the xxxxxxxx xxxxxx x

xxxx Obtained by replacing xxx xxxxx column of xxx xxxxxx x xx xxx constant xxxxxx B

The xxxx step xx to calculate xxx determinant xx each matrix.

xxxx xx = xx

|Ax| = = -87

|Ay| = = xxxxx

xxxxxx = xxxx

Furthermore the value of xx x xxx x xxx xx calculated,

x = xxxx / |A|

xxx -87 x xxx

= xxx

xxxx |Ay| / xxxx

xxx -174 / 87

= xxx

xxxx xxxx / xxxx

= 261 / xxx

xxxx obtained solution xxx xx z) x xxxx xxxxxx

xxxxxx

If xxxxx are xxxx obvious, you xxx immediately send xx xx xxxx

xxxxx you.

the xxxxxxxxxxx of x

xxx coefficient of x

the xxxxxxxxxxx of z

# xxxxxxxxxxxxxxxxxxx

# _1392476154.unknown

# xxxxxxxxxxxxxxxxxxx

# xxxxxxxxxxxxxxxxxxx

# xxxxxxxxxxxxxxxxxxx

# _1392476054.unknown

# _1392475740.unknown

# _1392475826.unknown

# _1392475339.unknown

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## The solution is (x,y,z) = (-1,-2,3).

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xxxxxxxx = xx

xxxxxxxx x xxx

5x+7y-3z = -28

xx xxxx a xxxxxx to eliminate xxx xxx xxxxxxxxx that contain that xxxxxxx

I xxxx xxxxxxxxxxx xxxx xxx xxxxxx y xx xxxxxxxxx xxx I will arbitrarily

xxxx the xxxxxxxxxx

3x+2y-5z = -22

5x+7y-3z x xxx

xx xxxxxxxxx x xxxxx

xxxxx the coefficients of x are 2 and 7, xxxxxxxx the first

xxxxxxxx xxxxxxx by xx and xxx xxxxxx one through by x so

they will have coefficients that will xxxxxx when equals xxx

xxxxx to equals:

xxxxxxxxxxxx = 154

xxxxxxxx xx x -56

xxxxxxxxxxxxxxxxxxx

-11x +29z x xx

2. Next, eliminate that same letter xxxx one xx xxxxx xxxxxxxx

xxx xxx equation xxx did xxx xxx in step 1.

x xxx not use

2x+3y+7z x xx

in step 1. I xxxx use xx xxxx

xxxxxxxx = -22

to eliminate the same xxxxxx y.

3x+2y-5z x xxx

2x+3y+7z =

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