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    Question 1 - Draw the graphs of 2x-y-1 = 0 and 2x + y = 9; Write down the co-ordinates of the point of intersection of the two lines.
    Question 2 - Solve graphically x + y + 2 = 0 and 3x - 4y = 5. Write down the co-ordinates of the point of intersection of the two lines.
    Question 3 - Solve graphically x = 4 and 3x - 2y = 10. Write down the co-ordinates of the point of intersection of the two lines.
    Question 4 - Show graphically that the system of linear equations 2x+4y=10 and 3x + 6y = 12 has no solution. Explain why.
    Question 5 - Solve graphically: 3x + y + 1 = 0 and 2x - 3y + 8 = 0. Write down the co-ordinates of the point of intersection of the two lines.
    Question 6 - Solve graphically y = 2x - 6 and y = -2x + 10. Write down the co-ordinates of the point of intersection of the two lines.
    Question 7 - Solve graphically: 3y = 5 - x and 2x = y + 3. Write down the co-ordinates of the point of intersection of the two lines.
    Question 8 - Solve graphically: x + y = -1 and y - 2x = -4. Write down the co-ordinates of the point of intersection of the two lines.
    3. Solve the system of equations
    x + 3y = 32
    -3x + 2y = 8
    4. Solve the system of equations
    x + y = 6
    x - y = -7

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    https://brainmass.com/math/solve-system-equations-draw-graphs-458038

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    MAT101 - Module 2 (part II) - Case Assignment

    Example Question and Solution
    Solve graphically x - 2y = 1 and x + y = 4, and write down the co-ordinates of the point of intersection of the two lines.
    Use grid below. When you click on the arrows you can move and/or rotate them to the correct position.
    Plot only 3 points per line.
    Answer:
    x - 2y = 1
    2y = x - 1
    y=(x-1)/2
    X -3 3 5
    y -2 1 2
    See RED arrow denoting the linear function and a positive slope

    x + y = 4
    y = 4 - x
    X 0 1 4
    y 4 3 0

    See BLUE arrow denoting the linear function and a negative slope
    The intersection of the two lines has the value of (3,1) which solves BOTH equations.

    5
    4
    3

    2
    1
    -5
    -4 -3 -2 -1 0 1 2 3 4
    -1
    -2
    -3
    -4

    Following the example above, solve the following EIGHT (8) questions, moving the arrows to and in the table.

    Question 1 - Draw the graphs of 2x-y-1 = 0 and 2x + y = 9; Write down the co-ordinates of the point of intersection of the two lines.
    Answer:
    2x-y-1 = 0
    y = 2x - 1
    x -1 2 1
    y -2 3 1
    See RED arrow denoting the linear function and a positive slope
    2x + y = 9
    y = 9 - 2x
    X 0 3 4
    y 9 3 1
    See BLUE arrow denoting the linear function and a negative slope

    5

    4
    3
    2
    1
    -5
    -4 -3 -2 -1 0 1 2 3 4
    -1
    -2
    -3
    -4
    The intersection of the two lines has the value of (4, 2.5) which solves BOTH equations.

    Question 2 - Solve graphically x + y + 2 = 0 and 3x - 4y = 5. Write ...

    Solution Summary

    The expert solves a system of equations and draws the graph.

    $2.49

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