What is the solution of the system of equations #5x + 4y = - 2# and #x - 4y = - 14#?

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Answer 1 · 2018-04-15T17:00:56

#x=-8/3#
#y=17/6#

#5x+4y=-2#
#x-4y=-14#

By adding the first equation to the second equation we get

#5x+4y+x-4y=-2-14#
#x-4y=-14#

#6x=-16#
#x-4y=-14#

#x=-16/6#
#x-4y=-14#

#x=-8/3#
#-8/3-4y=-14#

#x=-8/3#
#4y=-8/3+42/3#

#x=-8/3#
#4y=34/3#

#x=-8/3#
#y=34/12#

#x=-8/3#
#y=17/6#