This problem here would be a little tricky. Let us take into account first the variables presented which are the following: a collection of triangular and square tiles, 25 tiles, and 84 edges. Triangles and squares are 2D in shape so they give us a variable of 3 and 4 to work on those edges. Let us say that we represent square tiles with x and triangular tiles with y. There would be two equations which look like these:
x + y = 25 and 4x + 3y = 84
The first one would refer to the number of tiles and the second one to number of edges.
We will be using the first equation to the second equation and solve for one. So if we will be looking for y for instance, then x in the second equation would be substituted with x = 25 - y which would look like this:
Step-by-step explanation: Find the slope: (y2-y1) / (x2-x1). In this case, [2-(-6)] / (-1-1) = 8/-2 = -4. Then write it in intercept form, substituting in a point for y and x: 2 = a -4(-1). Then balance to get a = 6. So y = 6 - 4x
