In the process of relearning the mathematical basics I'm stumbling over this problem:

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> A quadratic parabola $y = ax^2 + bx + c $ goes through the points A(1/2), B(3/7) and C(-1/1). What are the values of the coefficients $a$, $b$ and $c$?
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This is a problem presented in the section about "Systems of Equalities", but I don't have the slightest idea, how to use the coordinates to calculate the values of the coefficients.

How can I solve this problem with a system of equalities?