System of Nonlinear Equations

What is a system of nonlinear equations?

• Involves only linear equations

• Involves at least one non-linear equation

• Always has two solutions

• Cannot be solved graphically

How do you solve a system of nonlinear equations graphically?

• Set equations equal and solve algebraically

• Add the equations together

• Substitute one equation into another

• Find points of intersection of their graphs

What method involves solving for one variable and substituting?

• Graphing

• Substitution method

• Elimination method

• Factoring

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• B
• C
• D

Use desmos to answer the question above

• A

• B

• C

• D

• A
• B
• C
• D

If a nonlinear system contains a linear function that never touches the quadratic function, that system has...

• 2 solutions

• 1 solution

• No solutions

• Infinite solutions

Find the solution(s) to the system.

• (0,-3)(1,-2)

• (0,-3)

• (-2,0)(2,0)

• No solution

If a nonlinear system contains a 2 functions that have NO points of intersection, that system has...

• 2 solutions

• 1 solution

• No solutions

• Infinite solutions

Find the exact real solutions to the system

• no real solutions

• (0, 5)

• (-10, 11)

• (5, 0)