The point of intersection of two given equations is (0.333, 2.667).
Given that, equation with two variables are y = 8x and y = 2x + 2.
The given equations will intersect at some point where y is the same for both equations.
When you replace y in y = 2x + 2 with y = 8x, we get 8x = 2x + 2.
So, the solution of 8x = 2x+2 will satisfy both equations.
Now, we need to find the solutions to take the integer values of x between -3 and 3.
That is,
x = -3 , then 8(-3) = 2(-3) +2⇒-24 = -6+2
⇒-12 = -4 False.
similarly, for x = -2
8(-2) = 2(-2)+2
⇒-16 = -2 False
For, x = -1
8(-1) = 2(-1)+2
⇒-8= 0 False
For, x = 0
8(0) = 2(0)+2
⇒0= 2 False
For, x = 1
8(1) = 2(1)+2
⇒8= 4 False
For, x = 2
8(2) = 2(2)+2
⇒16 = 6 False
For, x = 3
8(3) = 2(3)+2
⇒24 = 8 False
Therefore, there is no solution to 8x = 2x +2 for the integers values of x between -3 and 3.
The equations can be solved graphically by plotting the two given functions on a coordinate plane and identifying the point of intersection of the two graphs.
The point of intersection is the values of the variables which satisfy both equations at a particular point.
Hence, you can see the graph as shown below, the point of intersection is (0.333, 2.667).
To learn more about the graphical representation of equation visit:
brainly.com/question/12804458.
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