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

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Answer 1 · 2015-10-01T07:44:28

The solution is
#color(blue)(x=4,y=2#

# x+color(blue)(y)=6 #....equation #1#

#xcolor(blue)(-y)=2#.......equation #2#

Solving by elimination.
Adding equations #1# and #2#

# x+cancelcolor(blue)(y)=6 #
#x- cancelcolor(blue)(y)=2#

#2x=8#
#color(blue)(x=4#

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

# x+y=6 #
# y=6-x #
# y=6-4 #
#color(blue)(y=2#