How do you solve the following system: # 5x+8y= -29, 5x-9y=-2 #?

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Answer 1 · 2016-02-13T18:05:21

The solution for the system of equations is:
#x =-277/(85)#

#y = -27/17#

#color(blue)(5x) +8y=-29# ......equation #(1)#
#color(blue)(5x) -9y=-2#.........equation #(2)#

Solving by elimination

Subtracting equation #2# from #1#

#cancelcolor(blue)(5x) +8y=-29#
#-cancelcolor(blue)(5x) +9y=2#

#17y = -27#

#y = -27/17#

Finding #x# from equation #1#

#5x +8y=-29#

#5x +8xx(-27/17)=-29#

#5x + (-216/17)=-29#

#5x =-29+216/17#

#5x =-493/17+216/17#

#5x =-277/17#

#x =-277/(17xx5)#

#x =-277/(85)#