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Mathematics LibreTexts

6.4E: Systems of Nonlinear Equations and Inequalities - Two Variables (Exercises)

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

21. y=x27
y=5x13

22. y=x24
y=5x+10

23.
x2+y2=16
y=x8

24
x2+y2=25
y=x2+5

25.

x2+y2=4

yx2=3

For the following exercises, graph the inequality.

26. y>x21

27. 14x2+y2<4

For the following exercises, graph the system of inequalities.

28

x2+y2+2x<3
y>x23

29.

x22x+y24x<4
y<x+4

30.

x2+y2<1
y2<x


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