How do you find the solution of the system of equations #x+y=7# and # 2x-y=2#?

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Answer 1 · 2015-05-04T08:13:32

Solving by elimination and substitution:

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

on adding the two equations #y# gets cancelled
#x + cancel(y) = 7#
#2x - cancel(y) = 2#

#3x = 9#
# x = 9/3 = 3#

substituting this value of #x# in equation 1:

#x + y = 7#
# 3+ y = 7#
# y = 7- 3#
#y = 4#

the solution for the system of equations are :
#color(blue)x=3#
#color(blue)y=4#