How do you solve 6x-2y= - 3 and 5x+3y=4?

1 Answer
Sep 27, 2015

Answer:

#color(blue)(x=-1/28#

#color(blue)(y=13/6#

Explanation:

#6x-2y=-3#, multiplying this equation by #3#

#18x-color(blue)(6y)=-9#.....equation #(1)#

#5x+3y=4#, multiplying this equation by#2#

#10x+color(blue)(6y)=8#.......equation #(2)#

Solving by elimination.
Adding equation #1# and #2# to eliminate #color(blue)(6y#

#18x-cancelcolor(blue)(6y)=-9#
#10x+cancelcolor(blue)(6y)=8#

#28x=-1#

#color(blue)(x=-1/28#

Finding #y# by substituting #x# in equation #1#

#18x-6y=-9#

#18x +9=6y#

#18*(-1/28) +9=6y#

#-9/14 +9=6y#

#(-9 +126)/9=6y#

#(117)/9=6y#

#13=6y#

#color(blue)(y=13/6#