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

1 Answer

Sep 1, 2016

#x=1"; " y= 3#

Explanation:

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#

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