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91Ó°ÊÓ

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

5xy+13y2+36=0xy+7y2=6

Short Answer

Expert verified

The point of intersection is -53,3,53,-3.

Step by step solution

01

Step 1. Given information

5xy+13y2+36=0xy+7y2=6

02

Step 2. Graphing each equation

5xy+13y2+36=0


xy+7y2=6

03

Step 3. Calculation of intersection point

Consider,5xy+13y2+36=0.........(1)xy+7y2=6........(2)subtractingeq.2×5fromeq.1weget-22y2+66=0y=±3substitutey=±3ineq.2togetxy=3x=-53y=-3x=53

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