SOLUTION: Which of the graphs below represent the graphical solution to the following system of equations? 3x – 4y = 32 5x + 2y = 10

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Which of the graphs below represent the graphical solution to the following system of equations? 3x – 4y = 32 5x + 2y = 10      Log On


   



Question 549769: Which of the graphs below represent the graphical solution to the following system of equations?
3x – 4y = 32
5x + 2y = 10

Answer by mathie123(224) About Me  (Show Source):
You can put this solution on YOUR website!
Well I have have the graphs you have to choose from.... but I will show you how you could generate this graph:
Let's first look at 3x – 4y = 32. We will isolate y to get it into y=mx+b form:
3x+%96+4y+=+32
3x-4y-32%2B4y=32-32%2B4y
3x-32=4y
3x%2F4-32%2F4=y
y=%283%2F4%29%2Ax-8

And now we will do the same thing for 5x + 2y = 10
5x+%2B+2y+=+10
5x+%2B+2y-5x+=+10-5x
2y=+10-5x
y=+10%2F2-%285%2F2%29%2Ax
y=+5-%285%2F2%29%2Ax
y=+-%285%2F2%29%2Ax%2B5

Remember that once you have the lines in y=mx+b form, you have a point (0,b) for each line and then we can use the slope to get another point.
After graphing both lines we get:
graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C%283%2F4%29%2Ax-8%2C+-%285%2F2%29%2Ax%2B5%29
This is the graph you are looking for-- notice that when you solve this system of equations, you are finding the point where these lines intersect.
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Hopefully that helps!
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