How do you solve the following system?: # 2x +7y =-9 , 12x +5y = -2#

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How do you solve the following system?: # 2x +7y =-9 , 12x +5y = -2#

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Answer 1 · 2016-03-06T15:47:49

#y=-52/37#
#x=-31/74#

Explanation:

#2x + 7y =-9" "(1)#
#12x +5y=-2" "(2)#
#color(red)6(2x +7y)=-color(red)6*9#
#12x+42y=-54" "(3)#
#"find (2)-(3)"#
#cancel(12x)-cancel(12x)+5y-42y=-2+54#
#-37y=52#
#y=-52/37#
#2x+7(-52/37)=-9#
#2x-364/37=-9=#
#2x=-9+364/37#
#2x=-31/37#
#x=-31/74#

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How do you solve the following system?: # 2x +7y =-9 , 12x +5y = -2#

1 Answer

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