How do you solve the system #2x - 2y=5# and #5x + 2y=9#?

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Answer 1 · 2015-06-07T11:28:10

#2x - cancelcolor(blue)(2y)=5# ........equation #(1)#

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

Adding equations #(1)# and #(2)# we can eliminate #color(blue)(2y)#

#7x = 9 +5#

#7x = 14#

#color(blue)( x = 2#

Substituting #x# in equation #(1)#

#2x - 2y=5#
#4 - 2y=5#
#4 - 5 = 2y#
# 2y = - 1#
# color(blue)(y = -1/2#

The solutions for the system of equations are:
#color(blue)(x =2, y =-1/2#