IP2U4 and 3EMU1 SW - Non-Linear Simultaneous Equations Worksheet Q10

IP2U4 and 3EMU1 SW - Non-Linear Simultaneous Equations Worksheet Q10

IP 2

Solve the simultaneous equations

\( \qquad\qquad\, \left(\frac{1}{x}+\frac{1}{y}\right)^2 = \frac{2}{xy} + 157 \)

\( \left(\frac{1}{x}\right)^2 - \left(\frac{1}{y}\right)^2 = 85 \)

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Answer:x = 1/11, y = 1/6 or x = 1/11, y = -1/6 or x = -1/11, y = 1/6 or x = -1/11, y = -1/6

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