Concept explainers
(a)
To find:
The point of intersection of the equations
Answer to Problem 1E
Solution:
The point of intersection of the equations
Explanation of Solution
Calculation:
The steps to find the point of intersection using a graphing calculator are follows,
• Set the calculator up for instructions on what to graph by pressing
Figure
• Type “
Figure
• Press the
Figure
• Press
Figure
• When the calculator responds with first curve and a mark on the first equations graph, press
Figure
• When the calculator respond with and a mark on the first equations graph, press
Figure
• When the calculator responds with guess then use left and right arrows to place the mark near the points of intersection and press
Figure
The point of intersection of the equations
Therefore, the point of intersection of the equations
Conclusion:
Hence, the point of intersection of the equations
(b)
To check:
The solution by substituting the ordered pair into each of the two equations.
Answer to Problem 1E
Solution:
The point of intersection calculated by the graphing calculator is correct.
Explanation of Solution
Given:
The equation of lines is,
Approach:
Substitute
Calculation:
Consider the first equation.
Substitute
Consider the second equation.
Substitute
Since the value of
Conclusion:
Hence, the point of intersection calculated by the graphing calculator is correct.
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Chapter D Solutions
Mathematics: A Practical Odyssey
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