How do you solve the following linear system: # y = - 3x + 8, 2x+3y=5 #?

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Answer 1 · 2015-11-12T08:07:12

# x=19/7#
#y=(-1)/7#

#y=-3x+8# -----------------------(1)
#2x+3y=5#---------------------(2)

Plug in the value of #y=-3x+8# in equation (2)

#2x+3(-3x+8)=5#

#2x-9x+24=5#

#-7x=5 -24=-19#

#x=(-19)/(-7)=19/7#

# x=19/7#

Substitute # x=19/7# in equation (1)

#y=-3(19/7)+8=(-57+56)/7=(-1)/7#

#y=(-1)/7#