How do you solve the following system?: # -2x+3y=5, 3x+2y=12 #

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Answer 1 · 2017-04-02T13:31:01

#color(red)(y=3,x=2#

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

#:.3x+2y=12#--------(2)

#:.(2) xx 3#

#:.9x+6y=36#--------(3)

#:.(1) xx 2#

#:.-4x+6y=10#------(4)

#:.(3) -(4)#

#:.13x=26#

#:.color(red)(x=2#

Substitute x=2 in (2)

#:.3(2)+2y=12#

#:.6+2y=12#

#:.2y=12-6#

#:.2y=6#

#:.color(red)(y=3#

Substitute # y=3,x=2# in (1)

#:.-2(2)+3(3)=5#

#:.-4+9=5#

#:.color(red)(5=5#