# Algebra 2

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Solve the system: y^2 - 4x^2 = 4 and y = 2x.

(-1,-2)?

• Algebra 2 -

did you plug in your values to see whether they work?

Guess not, since (-1,-2) yields

(-2)^2 - 4(-1) = 4
4 + 4 = 4
Bzzzt

Since y=2x, substitute it into the other equation:

(2x)^2 - 4x^2 = 4
4x^2 - 4x^2 = 4
0 = 4
Bzzzt. No solutions

• Algebra 2 -

It feels like too many problems have no solutions! Very frustrating for me. Thank you for checking it!

• Algebra 2 -

Yeah, they have tossed a lot of them your way. Expect some on the test, I guess. Always check you proposed answer, if you get one, to make sure it works!

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