Question

How do you solve using gaussian elimination or gauss-jordan elimination, `-3x-2y=13`, `-2x-4y=14`?

Answer 1

`(x,y)=(-3,-2)`

Explanation:

Initial Augmented Matrix:
#{: (color(white)("XXXX")-3.000,color(white)("XXXX")-2.000,color(white)("XXXX")13.000), (color(white)("XXXX")-2.000,color(white)("XXXX")-4.000,color(white)("XXXX")14.000) :}#

Pivot Row: 1 Pivot Column: 1
pivot Row reduced:
#{: (color(white)("XXXXX")1.000,color(white)("XXXXX")0.667,color(white)("XXXX")-4.333), (color(white)("XXXX")-2.000,color(white)("XXXX")-4.000,color(white)("XXXX")14.000) :}#

Non-pivot rows reduced for pivot column
#{: (color(white)("XXXXX")1.000,color(white)("XXXXX")0.667,color(white)("XXXX")-4.333), (color(white)("XXXXX")0.000,color(white)("XXXX")-2.667,color(white)("XXXXX")5.333) :}#

Pivot Row: 2 Pivot Column: 2
pivot Row reduced:
#{: (color(white)("XXXXX")1.000,color(white)("XXXXX")0.667,color(white)("XXXX")-4.333), (color(white)("XXXXX")0.000,color(white)("XXXXX")1.000,color(white)("XXXX")-2.000) :}#

Non-pivot rows reduced for pivot column
#{: (color(white)("XXXXX")1.000,color(white)("XXXXX")0.000,color(white)("XXXX")-3.000), (color(white)("XXXXX")0.000,color(white)("XXXXX")1.000,color(white)("XXXX")-2.000) :}#