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How do you solve the following system?: #4x-y=-1 , 6x+5y=18 #

1 Answer

Apr 12, 2018

x=1/2 and y = 3

Explanation:

Equation 1.#4x-y=-1#
Equation 2.#6x+5y=18#

5times Equation 1.
#5(4x-y=-1)#
#=20x-5y=-5#

Add 5XEquation1 to Equation2
# 20x-5y=-5#
#+6x+5y=18#
=>#26x=13#
#x=13/26#
#x=1/2#

Sub x into Equation 1:
#4(1/2)-y=-1#
#2-y=-1#
#-y=-1-2#
#y=-3/-1#
#y=3#

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