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Question 140674: I need some assistance, please show me how to graph this equation.
4x-1=3x+15
This is the formula that I came up with in answer to a word problem. I worked it out and came up with x=16. I then graphed it as a strait line by coming up with various points for y. The problem was sent back as needing to be revised. The equation and answer was fine. This is the comment they made:
The algebraic solution is correct.
To solve the equation graphically, notice that it is made up of two functions, y=4x-1 and y=3x+15.
The solution is at the intersection of these two lines.
Be sure to show the intersection on the graph.
Can anyone tell me how to do this, there are more problems like this coming up and I want to get them right the first time.
Found 2 solutions by checkley77, stanbon:
Answer by checkley77(12844)   (Show Source):
You can put this solution on YOUR website! The proper equations for these 2 lines are;
y=4x-1 (red line)
y=3x+15 (green line)
 (graph 300x200 pixels, x from -6 to 25, y from -10 to 80, of TWO functions 4x -1 and 3x +15).
ANSWER (16,63)
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! To solve the equation graphically, notice that it is made up of two functions, y=4x-1 and y=3x+15.
The solution is at the intersection of these two lines.
Be sure to show the intersection on the graph.
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Graph y = 4x-1 by finding two points:
If x = 0, y = -1
If x = 1, y = 3
Plot the points (0,-1) and (1,3)
Draw a line thru them to see the graph of y = 4x-1
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Graph y = 3x+15 by finding two points:
If x = 0, y = 15
If x = 1 y = 18
Plot the points (0,15) and (1,18)
Draw a line thru them to see the graph of y = 3x+15
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cheers,
Stan H.
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