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

1 Answer
Alan P.
Jul 8, 2016

(x,y)=(-3,-2)(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) :}

Related questions
See all questions in Gaussian Elimination
Impact of this question
1740 views around the world
You can reuse this answer
Creative Commons License