How do you solve the system # y= 6x - 11 # and #-2x - 3y = -7# by substitution?

1 Answer
Alan P.
Jun 3, 2015

Given
#"[1] "y = 6x-11#
#"[2] "-2x-3y = -7#

#color(white)("XXXX")#Using [1] substitute #(6x-11)# for #y# in [2]
#"[3] " -2x - 18x+33 = -7#
#color(white)("XXXX")#Simplifying
#"[4] "20x = 40#
#"[5] "x = 2#
#color(white)("XXXX")#Using [5] substitute #4# for #x# in [1]
#"[6] "y = 12 -11#
#"[7] "y = 1#

Solution is #(x,y) = (2,1)#

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