How do solve the following linear system?: # -6x+3y=-12 , 2x+y=19 #?

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Answer 1 · 2018-06-09T07:37:15

#x=5.75,y=7.5#

Multiply the second equation by 3

#6x+3y=57#

Add #-6x+3y=-12#

#=> 6y=45#

Divide by 6

#y=7.5#

Substitute #y=7.5# into the second equation

#2x+7.5=19#

Subtract 7.5

#2x=11.5#

Divide by 2

#x=5.75#