Question

Question #7d2e5

Answer 1

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:

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