SOLUTION: Solve the system of equations 3x - 2y = 8 and x + 4y = 11 by graphical method.

Click here to see ALL problems on Miscellaneous Word Problems

Question 1138685: Solve the system of equations 3x - 2y = 8 and x + 4y = 11 by graphical method.
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: Solve the System of Equations by Graphing

Start with the given system of equations:

In order to graph these equations, we need to solve for y for each equation.

So let's solve for y on the first equation

Start with the given equation

Subtract from both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets graph (note: if you need help with graphing, check out this solver)

Graph of

So let's solve for y on the second equation

Start with the given equation

Subtract from both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets add the graph of to our first plot to get:

Graph of (red) and (green)

From the graph, we can see that the two lines intersect at the point (,) (note: you might have to adjust the window to see the intersection)

Answer by greenestamps(13200) (Show Source):
You can put this solution on YOUR website!

Just a note to comment on the solution by the other tutor....

In fact, you can NOT tell from the graph that the solution to the pair of equations is (27/7,25/14).

You CAN tell that the solution is APPROXIMATELY (4,2).

So in fact, even though the problem says to solve the problem using the graphical method, the graphical method is not appropriate for the problem.