Solve the following system of equations using the eliminatio

Solve the following system of equations using the elimination or sub allowed.) Show your work in a systematic and logical manner to standard form as shown in class. {10x^2 + y^2 = 100 10x^2 - y^2 = 100

Solution

10x²+y²=100

10x²-y²=100

adding both equations we get

20x²=200

x²=10

x=+-sqrt10

when x=sqrt 10 we get

10(10)+y²=100

y²=0

y=0

when x=-sqrt10 we get

10(10)+y²=100

y=0

Therefore the solutions are (-sqrt10,0),(sqrt 10,0)