To find: The solutions to the system of equations
Answer to Problem 36E
The solutions of the system of equations are
Explanation of Solution
Given:
Calculation:
Consider the system of equations
Need to solve the system of equations by graphing method
Solve for
The second equation is
The system of equation becomes
Need to sketch the graph of the equations and find the intersect points
Enter the equations in graphing calculator as follows.
Set the windows as follows.
To get the graph of the equations, press GRAPH button
From the graph of the system of equations, observe that
The graphs of the equations intersect in quadrant I and quadrant IV
So, there are two intersect points
To round to the two decimal places, set the graphing calculator as follows.
Press MODE then set FLOAT up to
Need to find the intersections, press the
Use the left and right buttons to confirm the first and second curves by pressing ENTER
From the display, the intersect point in the quadrant I is
Need to find the intersect point in the quadrant IV as above
From the display, the point of intersections in quadrant IV is
Therefore, the intersect points are
Conclusion:
The solutions of the system of equations are
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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