Question #7d2e5

1 Answer
Alan P.
Oct 8, 2016

Point of intersection: #(x,y)=(-2,4)#

Explanation:

Sample Solutions (obtained by substituting arbitrary values for #y# in each equation)

#{: (,color(white)("X"),color(red)(2x+4y=12),color(white)("XXX"),color(green)(x=-2)), (color(black)(y=-1),,color(red)(""(8,-1)),,color(green)(""(-2,-1))), (color(black)(y=0),,color(red)(""(6,0)),,color(green)(""(-2,0))), (color(black)(y=1),,color(red)(""(2,1)),,color(green)(""(-2,1))) :}#

Plotting the lines for each set for each equation
and extend until the lines intersect:
enter image source here

We can see that the lines intersect at a point where #x=-2# and #y=4#

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