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91Ó°ÊÓ

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

x2-4y2+7=03x2+y2=31

Short Answer

Expert verified

tThe point of intersection is 3,2,3,-2,-3,2,-3,-2.

Step by step solution

01

Step 1. Given information

x2-4y2+7=03x2+y2=31

02

Step 2. Graphing each equation

x2-4y2+7=0


3x2+y2=31

03

Step 3. Calculation of intersection point

Consider,x2-4y2+7=0......(1)3x2+y2=31.....(2)Multiply4ineq.2andaddtoeq.1weget13x2=117x=±substitutethevalueofxineq.1togeyyx=332-4y2+7=0y=±2x=-3y=±2

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