How do you solve the following system: #-x+6y=12, 3x+4y=-10 #?

1 Answer
Sep 8, 2016

Answer:

#x=-54/11#

#y=13/11#

Explanation:

#-x+6y=12# and #3x+4y=-10#

or

#x=6y-12#

or

#x=6(y-2)#

Multiplying #-x+6y=12# by #3#

We get

#-3x+18y=36#

By adding #-3x+18y=36# with #3x+4y=-10#

We get

#-3x+18y+3x+4y=36-10#

or

#22y=26#

or

#y=26/22#

or

#y=13/11#----------------------Ans #1#

By plugging the value #y=13/11# in the equation #x=6(y-2)#

We get

#x=6(13/11-2)#

or

#x=6 times (13-22)/11#

or

#x=6times (-9/11)#

or

#x=-54/11#---------------------Ans #2#