How do you solve the system of equations #-6x - 8y = - 28# and #9x + 5y = - 14#?

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Answer 1 · 2018-04-29T02:38:09

#x=-6#
#y=8#

#-6x-8y=-28# --- (1)
#9x+5y=-14# --- (2)

From (1),

#-6x-8y=-28#
#-3x-4y=-14# (divided by 2)
#9x+12y=42# (multiplied by 3) --- (3)

(3)-(2)

#9x+12y=42# --- (3)
#9x+5y=-14# --- (2)
#7y=56#
#y=8# --- (4)

Sub (4) ino (1)

#-6x-64=-28#
#-6x=36#
#x=-6#