How do you solve 6x-y=-5 and 4x-2y=6?

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Answer 1 · 2015-10-08T21:56:33

#x=1/2#

#y=-2#

We have 2 equations and 2 unknowns so they are simultaneous.

#6x-y=5 " "color(red)((1))#

#4x-2y=6 " "color(red)((2))#

From #color(red)((1)):#

#y=(6x-5)#

We can substitute this expression for #y# into #color(red)((2))rArr#

#4x-2(6x-5)=6#

#4x-12x+10=6#

#-8x=6-10#

#-8x=-4#

#x=(-4)/-8=1/2#

We can now substitute this value of #x# into #color(red)((1))rArr#

#6xx1/2-y=5#

#3-y=5#

#y=3-5=-2#