How do you solve the system by graphing #x - 5y = -14# and #3x + y = 6#?

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Answer 1 · 2016-04-13T09:43:15

See explanantion

Given:
#x-5y=-14#........................(1)
#3x+y=6#..........................(2)

#color(blue)("Consider equation (1)")#

Multiply throughout by (-1)
#-x+5y=14#

Add #x# to both sides

#-x+x+5y=14+x#

#0+5y=x+14#

Divide both sides by 5

#5/5xxy=x/5+14/5#

But #5/5=1#

#color(blue)(y=x/5+14/5)#.......................(3)
'~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Consider equation (2)")#

By the same processes as above we end up with:

#color(blue)(y=-3x+6)#.........................(4)
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Plotting equations (3) and (4) we have:
Tony B