Question #e472b

1 Answer
Mia
Oct 25, 2017

#x = 2 " " and " "y = -3#

Explanation:

Let #x" "# and #" "y# be two integers to be found .
#" "#
The sum of these integers is#" "-1#
#" "#
# x+ y = -1" "# Eq1
#" "#
The difference of these integers is #" "+5#
#" "#
#x - y = +5" "#Eq2
#" "#
We obtained two equations with two unknowns
#" "#
Eq1 + Eq 2
# " "#
#x+y+x-y = -1+5#
#" "#
#rArr 2x=+4#
#" "#
#rArr x= 4/2 =2#
#" "#
Substitute #" "x# in Eq 1 to find #" "y #
#" "#
#x + y=-1#
#" "#
#rArr 2+y = -1#
#" "#
#rArr y = -1-2 =-3#
#" "#
Therefore, #x =2 " " and " "y = -3#

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