How do you solve the following system: #4x-5y= -1, 2x+9y=5 #?

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Answer 1 · 2018-03-09T05:58:17

#x= 8/23 , y=11/23 #

#4x-5y=-1# [A]
#2x+9y=5# [B}

#2xx#[B] -> #4x+18y=10# [C]

[C] - [A] #-> 23y=11#

#:. y =11/23#

#y=11/23# in [B] #-> 2x +9xx11/23 =5#

#x = 1/2(5-99/23)#

#= 1/2 xx 16/23 = 8/23#