Polynomials, Cubic Equations and Partial Fractions - Linear and Non-Linear Simultaneous Equations

Polynomials, Cubic Equations and Partial Fractions - Linear and Non-Linear Simultaneous Equations

TGM Original Questions

Solve the simultaneous equations:

\({{x}^{2}}+5xy=1\)

\(2y-x=-1\)

Hence, state the coordinates of the points of intersections between the curve \({{x}^{2}}+5xy=1\) and the line \(2y-x=-1\).

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Answer:\((1, 0)\) and \(\left(-\frac{2}{7}, -\frac{9}{14}\right)\)

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