How do you solve the following system?: # 2x+5=-9y , 2x -5y=7 #

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Answer 1 · 2016-02-14T16:51:55

The solution for the system of equations is :
#x =19/14#

#y=-6/7#

#color(blue)(2x) +9y=-5#......equation #(1)#

#color(blue)(2x)-5y=7#............equation #(2)#

Solving by elimination
Subtracting equation #2# from #1#

#cancelcolor(blue)(2x) +9y=-5#

#-cancelcolor(blue)(2x)+5y=-7#

#14y=-12#

#y=-12/14#

#y=-6/7#

Finding #x# from equation #1#
#2x +9y=-5#

#2x +9 xx (-6/7)=-5#

#2x -54/7=-5#

#2x =-5 +54/7#

#2x =-35/7 +54/7#

#2x =19/7#

#x =19/(7xx2)#

#x =19/14#