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Chapter 11: Q. 30 (page 773)

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

2x2-xy+y2=8xy=4

Short Answer

Expert verified

The point of intersection is (2,2),(-2,-2),(2,22),(-2,-22).

Step by step solution

01

Step 1. Given information

2x2-xy+y2=8xy=4

02

Step 2. Graphing each equation

2x2-xy+y2=8

xy=4

03

Step 3. Calculation of intersection point

Consider,2x2-xy+y2=8.....(1)xy=4.....(2)Nowy=4xsubstitutingthevalueofyineq.1weget2x2-x4x+4x2=82x2-4+16x2=82x4+16=12x2x4-6x2+8=0(x2-4)(x2-2)=0x=卤2,卤2Nowsubstitutingvalueofxineq.2wegety=卤42=卤2y=卤42=卤22

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Most popular questions from this chapter

Graph each inequality by hand.

y鈮�2

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.

2x+y-3z=0-2x+2y+z=-73x-4y-3z=7

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

x+2y=42x+4y=8

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

2x+4y=233x-5y=-1
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