11.3E: Systems of Nonlinear Equations and Inequalities - Two Variables (Exercises)

For the following exercises, solve the system of nonlinear equations.

21. \(y=x^{2}-7\)
\[y=5 x-13 \]

22. \(y=x^{2}-4\)
\[y=5 x+10\]

23.
\(x^{2}+y^{2}=16\)
\(y=x-8\)

24
\(x^{2}+y^{2}=25\)
\(y=x^{2}+5\)

25.

\(x^{2}+y^{2}=4\)

\(y-x^{2}=3\)

For the following exercises, graph the inequality.

26. \(y>x^{2}-1\)

27. \(\frac{1}{4} x^{2}+y^{2}<4\)

For the following exercises, graph the system of inequalities.

28

\(x^{2}+y^{2}+2 x<3\)
\(y>-x^{2}-3\)

29.

\(x^{2}-2 x+y^{2}-4 x<4\)
\(y<-x+4\)

30.

\(x^{2}+y^{2}<1\)
\(y^{2}<x\)

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