How do you find the solution of the system of equations #x+y=7 # and #x-y=-3#?

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Answer 1 · 2015-05-04T08:04:57

Solving by elimination and substitution:

#x+y = 7#
#x-y = -3#

on adding the two equations #y# gets cancelled
#x + cancel(y) = 7#
#x - cancel(y) = -3#

#2x = 4#
# x = 4/2 = 2#

substituting this value of #x# in equation 1:

#x + y = 7#
# 2+ y = 7#
# y = 7- 2#
# y = 5#

the solution for the system of equations are :
#color(blue)x=2#
#color(blue)y=5#