How do you solve the system of equations #3x + 2y = - 7# and #2x - 7y = 37#?

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Answer 1 · 2018-04-15T05:38:44

#x=1#
#y=-5#

#3x+2y=-7# --- (1)
#2x-7y=37# --- (2)

From (1),

#3x+2y=-7#
#3x=-2y-7#
#x=1/3(-2y-7)# --- (3)

Sub (3) into (2),

#2times1/3(-2y-7)-7y=37#

#2/3(-2y-7)-7y=37#

#-4/3y-14/3-7y=37#

#-25/3y=125/3#

#y=-5# --- (4)

Sub (4) into (3),

#x=1/3(-2(-5)-7)#

#x=1/3(3)#

#x=1#