Question

Part 1: Explain, in complete sentences, how you would use the graphing method to solve the following system of equations. (3 points)

Part 2: Provide the solution to the system. (2 points)

Part 3: Explain what the solution represents on the graph. (1 point)

3x + 6y = 18
2x + 5y = 20

Answer 1

solve for y in equation 1, substitute in other equation for x to find points on graph

Answer 2

How would you do this @deboutwest

Answer 3

Commentary in brackets...
Part 1:
From the first equation [3x + 6y = 18], it is apparent that when x is 0, y is 3 and when y is 0, x is 6. Then (0,3) and (6,0) are its y and x intercepts respectively. Draw the line through these two points and call that line l.

From the second equation [2x + 5y = 20], it is apparent that when x is 0, y is 4 and when y is 0, x is 10. Then (0,4) and (10,0) are its y and x intercepts respectively. Draw the line through these two points and call that line m.

Find the point at which l and m intersect.
The x-value of that point is the x-value that would fit both equations and the y-value of that points is the y-value that would fit both equations. Thus, that point is the solution.

Not sorry for the long post :P

Answer 4

Thanks but what about part 3 ?

Answer 5

The solution represents the point at which these two lines intersect, I really can't think of anymore it can represent :)

Answer 6

Oh so after I graph the points wherever the lines intersect is that going to be my solution ?

Answer 7

That's right :)

Answer 8

Although you graph the lines, not the points, really :)

Answer 9

Thanks

Answer 10

No problem :)