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Chapter 7: Problem 53

In Exercises \(49-54\) , use a graphing utility to solve the system of equations. Find the solution(s) accurate to two decimal places. $$\left\\{\begin{array}{l}{x^{2}+y^{2}=169} \\ {x^{2}-8 y=104}\end{array}\right.$$

Short Answer

Expert verified
The solutions would be obtained from the graphing utility and must satisfy both the equations. These solutions would vary based on the graph and should be rounded off to two decimal places.

Step by step solution

01

Graph the Equations

First, input both of these equations \(x^2 + y^2 = 169\) and \(x^2 - 8y = 104\) in the graphing utility. This will depict two circles on the graph.
02

Find Points of Intersection

Observe the points where the two circles intersect. There will be either 2 or no points of intersection since these are circles. Read the coordinates of these intersection points from the graphing utility.
03

Verify and Round Off

Check the obtained values by inserting them back into the original equations to verify they satisfy both. If they do, then they are correct. Now, express these points up to 2 decimal places as required by the problem.

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Most popular questions from this chapter

In Exercises 37-40, determine whether each ordered pair is a solution of the system of linear inequalities. \( \left\\{\begin{array}{l} 3x + y > 1\\\ -y - \dfrac{1}{2}x^2 \le -4\\\ -15x + 4y > 0\end{array}\right. \) (a) \( (0, 10) \) (b) \( (0, -1) \) (c) \( (2, 9) \) (d) \( (-1, 6) \)

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