How do you solve $2x + y = 5$ and $3x + y = 6$ using matrices?

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Answer 1 · 2016-09-01T11:44:45

$x=1"; " y= 3$

Write as
$" "x" "y" answer"$

$((2,1, |,5),(3,1,|,6))$
$color(brown)(" "Row[2]-Row[1])$
$color(white)(2/2)color(brown)(" "darr)$

$((2,1, |,5),(1,0,|,1))$
$color(brown)(" "Row[1]-2Row[2])$
$color(white)(2/2)color(brown)(" "darr)$

$((0,1, |,3),(1,0,|,1))$
$color(brown)(" swap the rows arround")$
$color(white)(2/2)color(brown)(" "darr)$

$((1,0, |,1),(0,1,|,3))$
$color(green)("This is called 'row echelon form'")$

$x=1"; " y= 3$

How do you solve 2x + y = 52x + y = 5 and 3x + y = 63x + y = 6 using matrices?