Solve the following system #3y + x = -3# and #-6y + x = -12# using the graphing method?

1 Answer
Mar 28, 2015

Since both of the given equations a linear we only need 2 points for each equation to draw their lines and it is most convenient to use the axis intercept points

#3y+x = -3# will give us #(x,y)# intercepts at
#(0,-1)# and #(-3,0)#

#-6y+x=-12# will give us #(x,y)# intercepts at
#(0,2)# and #(-12,0)#

On graph paper draw a straight line through both
#(0,-1)# and #(-3,0)# for #3y+x=-3#
and another straight line through both
#(0,2)# and #(-12,0)# for #-6y+x=-12#
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We can then read the point of intersection of the two lines from the graph as #(x,y) = (-6,1)#