Question #9fb91

1 Answer

Answer:

#x=10#
#y=2#

Explanation:

the given system of equations

#x=3y+4" "# first equation
#2x-3y=14" "# second equation

Method of Substitution
Substitute the first equation into the second equation so that

#2x-3y=14" "# second equation

becomes

#2(3y+4)-3y=14" "# second equation

simplify

#6y+8-3y=14#

#6y-3y=14-8#

#3y=6#

#(3y)/3=6/3#

#y=2#
~~~~~~~~~~~~~~~~~~~~~~~~

Solve now for #x# using the value of #y=2#

#x=3y+4" "# first equation
#x=3(2)+4" "# first equation

#x=6+4#

#x=10#

~~~~~~~~~~~~~~~~~~~

checking:
#x=3y+4" "# first equation
#10=3(2)+4#
#10=6+4#
#10=10#

checking:
#2x-3y=14" "# second equation
#2(10)-3(2)=14" "# second equation

#20-6=14#
#14=14#

#x=10# and #y=2# are correct

God bless....I hope the explanation is useful.