# Question 7d2e5

Oct 8, 2016

Point of intersection: $\left(x , y\right) = \left(- 2 , 4\right)$

#### 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 $y = 4$