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

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Answer 1 · 2016-03-27T08:49:25

#(x,y)=(4,2)#

#color(blue)(x+y=6#

#color(blue)(x-y=2#

We can get rid of #y# in the first equation by #-y# in the second equation.

#:.# Add the equations

#rarr(x+y=6)+(x-y=2)#

#rarr2x=8#

#rArrcolor(green)(x=8/2=4#

Substitute the value of #x# to the first equation

#rarr4+y=6#

#rarry=6-4#

#rArrcolor(green)(y=2#