How do solve the following linear system?: # -6x+6y=6 , 5x-y=3 #?

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Answer 1 · 2017-07-04T09:17:16

Solve the equations using substitution.

#-6x+6y=6#

Divide by 6,

#-x+y=1#

Making y the subject of the equation,

#y=1+x# ----Equation 1

#5x-y=3#

Substituting equation 1,

#5x-(color(red)(1+x))=3#

#5x-1-x=3#

#4x=4#

#x=1#

Substituting #x=1# into equation 1,

#y=1+color(red)1#

#y=2#