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Chapter 11: Q. 28 (page 773)

Graph each equation of the system. Then solve the system to find the points of intersection.

x2-4y2=162y-x=2

Short Answer

Expert verified

The point of intersection is -5,-32.

Step by step solution

01

Step 1. Given information

x2-4y2=162y-x=2

02

Step 2. Graphing each equation

x2-4y2=16

2y-x=2

03

Step 3. Calculation of intersection point

Consider,x2-4y2=16.....(1)2y-x=2.....(2)Nowsubstitutingthevalueofxfromeq.2intoeq.1weget(2y-2)2-4y2=164y2+4-8y-4y2=16y=-32Nowsubstitutingvalueofyineq.2weget2-32-2=xx=-5

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Most popular questions from this chapter

Solve each system of equations. If the system has no solution, say that it is inconsistent.

2x+y=14x+2y=3

solve each system of equations. If the system has no solution, say that it is inconsistent.

x + y - z = 6

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x + 3y - 2z = 14

Solve each system of equations. If the system has no solution, say that it is inconsistent

x + 2y - z = -3

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In Problems 23鈥�34, graph each system of linear inequalities by hand. Verify your results using a graphing utility

2x+y鈮�-22x+y鈮�2

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