The line represented by the equation 4y + 2x = 33.6 shares a solution point with the line represented by the table below. The solution for this system is:

(6.0)(5.4)

Step-by-step explanation:

First we have to find the equation of the line represented in the table; for that we have to find it's slope  and it's y-intercept  and then write it in the following form:

The slope  of the line we get from first two points:

thus we have

we find  by putting the point  into the function:

Thus we have

Now we have to find where this line intersects with ; to do this we just substitute  with :

We have the x-coordinate of  the intersection.

We find the y-coordinate by substituting  into :