How do solve the following linear system?: # 3y = 15 -6x , 8x+2y=2 #?

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Answer 1 · 2018-03-24T06:07:34

#therefore# #color(red)(x=-2 and y=9#

#3y=15-6x #

#y=(15-6x)/3#

#y=5-2x#

Put the value of #y# in #eq(2)#

#8x+2y=2#

#8x + 2(5-2x)=2#

#8x +10-4x=2#

#8x-4x=2-10#

#4x=-8#

#color(magenta)(x=-2#

Put #x=-2# in #eq1#

#3y=15-6x#

#3y= 15-6(-2)#

#3y = 15+12#

#3y= 27#

#y=27/3#

#color(magenta)(y=9#

#therefore# #color(red)(x=-2 and y=9#