How do you solve the system of equations #6x - 5y = - 32# and #- 7x + 8y = 46#?

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Answer 1 · 2016-12-29T04:55:00

#x=-2#
#y=4#

Given -

#6x-5y=-32#------------------(1)
#-7x+8y=46# -------------- (2)

Multiply equation (1) with 7

#6x-5y=-32#------------------(1) #xx 7#

#42x-35y=-224# ------------------- (3)

Multiply equation (2) with 6

#-7x+8y=46# -------------- (2) #xx 6#

#-42x+48y=276# -------------(4)

Add equation (3) and (4)

#42x-35y=-224#
#-42x+48y=276#

# 13y=52#
#y=52/13=4#

Substitute #y=4# in equation (1) and solve for #x#

#6x-5y=-32#
#6x-5(4)=-32#
#6x-20=-32#
#6x=-32+20=-12#
#6x=-12#
#x=(-12)/6=-2#

#x=-2#
#y=4#