6.4E: Systems of Nonlinear Equations and Inequalities - Two Variables (Exercises) Last updated Feb 8, 2022 Save as PDF 6.4: Systems of Nonlinear Equations and Inequalities - Two Variables 6.5: Solving Systems with Gaussian Elimination Page ID96326 OpenStaxOpenStax ( \newcommand{\kernel}{\mathrm{null}\,}\) For the following exercises, solve the system of nonlinear equations. 21. y=x2−7 y=5x−13 22. y=x2−4 y=5x+10 23. x2+y2=16 y=x−8 24 x2+y2=25 y=x2+5 25. x2+y2=4 y−x2=3 For the following exercises, graph the inequality. 26. y>x2−1 27. 14x2+y2<4 For the following exercises, graph the system of inequalities. 28 x2+y2+2x<3 y>−x2−3 29. x2−2x+y2−4x<4 y<−x+4 30. x2+y2<1 y2<x