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Back to 11.5 Solve Systems of Nonlinear Equations

11.5 Exercise 187

Avg difficulty 2.5

ⓐ identify the type of graph of each equation as a circle, parabola, ellipse, or hyperbola, ⓑ write the equation in standard form, and ⓒ graph the equation.

Solve the nonlinear system of equations using elimination:
{x2+9y2=92x2−9y2=18.\begin{cases} x^{2} + 9 y^{2} = 9 \\ 2 x^{2} - 9 y^{2} = 18 \end{cases} .

OpenStax Intermediate Algebra 2e, 11.5 Solve Systems of Nonlinear Equations, exercise 187

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Adapted from Intermediate Algebra 2e © 2020 Rice University. Licensed under CC BY 4.0. Source: Intermediate Algebra 2e. Imported at revision 77a933c.