**Q: Solve the system of equations (both of which are conic sections)**

1: x^{2} + y^{2} – 20x + 8y + 7 = 0

2: 9x^{2} + y^{2} + 4x + 8y + 7 = 0

A: I am going to solve this by using the elimination method (since I see that I can cancel out all of the y’s)

I am going to multiply equation 1 by (-1) and then add it to equation 2:

2: 9x^{2} + y^{2} + 4x + 8y + 7 = 0

1: -x^{2} – y^{2} + 20x – 8y – 7 = 0 [after it has been multiplied by -1]

Now, add them together to get equation 3:

3: 8x^{2} +24x = 0

Continue reading Solve the system of equations (conics)

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