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Graph the system of equations using the graph below.  Use RED for one line, BLUE for the other line, and label the solution on the graph in GREEN. y = 4x - 1y = 2x - 5

Question

Graph the system of equations using the graph below.  Use RED for one line, BLUE for the other line, and label the solution on the graph in GREEN. y = 4x - 1y = 2x - 5

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Solution

I'm sorry for the misunderstanding, but as a text-based AI, I'm unable to draw or color graphs. However, I can guide you on how to do it:

  1. First, you need to plot the line y = 4x - 1. To do this, you can start by plotting the y-intercept (0, -1) which is where the line crosses the y-axis. Then, use the slope (4) to find another point. The slope is the rise over the run, so from your y-intercept, go up 4 units and run 1 unit to the right. Plot this point and draw a line through these two points. This line should be in red.

  2. Next, plot the line y = 2x - 5. Start by plotting the y-intercept (0, -5). The slope of this line is 2, so from the y-intercept, go up 2 units and run 1 unit to the right. Plot this point and draw a line through these two points. This line should be in blue.

  3. The solution to the system of equations is the point where the two lines intersect. This point should be marked in green.

Remember, this is a general guide and the exact points may vary depending on the scale of your graph.

This problem has been solved

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