Solve Graphing Problems

The only way you can find the solution from the graph is IF you draw a very neat axis system, IF you draw very neat lines, IF the solution happens to be a point with nice neat whole-number coordinates, and IF the lines are not close to being parallel.On the plus side, since they will be forced to give you nice neat solutions for "solving by graphing" problems, you will be able to get all the right answers as long as you graph very neatly.

The only way you can find the solution from the graph is IF you draw a very neat axis system, IF you draw very neat lines, IF the solution happens to be a point with nice neat whole-number coordinates, and IF the lines are not close to being parallel.On the plus side, since they will be forced to give you nice neat solutions for "solving by graphing" problems, you will be able to get all the right answers as long as you graph very neatly.This is called a "dependent" system, and the "solution" is the whole line.-point), no solution at all, or an infinite solution (being all the solutions to the equation).

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Next, you need to graph both equations on the same coordinate plane.

Graph your amount, Y, on the y-axis and your friend's amount, F, on the x-axis (it actually doesn't matter which is which as long as you label them correctly).

You can use graph paper and a pencil, a handheld graphing calculator or an online graphing calculator.

So for the first equation, convert from standard form to slope-intercept form.

The slope is -1, so go down one unit and over one unit and draw a point.

That creates a point at (1, 199), and if you repeat the process starting with that point, you'll get another point at (2, 198).

To graph the second equation, Y = F – 50, use the y-intercept of -50 to draw the first point at (0, -50).

Since the slope is 1, start at (0, -50), and then go up one unit and over one unit. Repeat the process starting from (1, -49) and you'll get a third point at (2, -48).

You could also write this equation as Y 50 = F, since what you made plus 50 dollars equals what your friend made.

These are different ways of writing the same thing and will not change your final answer.