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

Jul 8, 2016

$\left(x , y\right) = \left(- 3 , - 2\right)$

#### 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) :}