How do you solve the system of equations #6x - 6y = 6# and #x - 3y = 13#?

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Answer 1 · 2017-04-22T09:16:47

#"Answer x=-5 , y=-6"#

#"you can firstly simplify the equation 6x-6y=6."#

#6x-6y=6#
#6(x-y)=6#
#cancel(6)(x-y)=cancel(6)#
#"we get ,"#
#x-y=1#

#"solve for x"#

#x=1+y#

#"write 1+y instead x in the equation x-3y=13"#

#x-3y=13#

#1+y-3y=13#

#1-2y=13#

#-2y=13-1#

#-2y=12#

#y=-12/2=-6#

#"since x is equal 1+y"#

#x=1-6#

#x=-5#