System of Nonlinear

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

How many solutions can a system of a line and parabola have?

• 0, 1, or 2

• Always 2

• Exactly 1

• Infinite solutions

What happens if the line does not intersect the parabola?

• System has two solutions

• System has one solution

• System has no real solutions

• System has infinite solutions

Find the exact real solutions to the system

• no real solutions

• (0, 5)

• (-10, 11)

• (5, 0)

• A
• B
• C
• D

• -7/4

• 5/2

• 3/4

• 3

Find the solution(s) to the system.

• (0,-3)(1,-2)

• (0,-3)

• (-2,0)(2,0)

• No solution

• A
• B
• C
• D

Use desmos to answer the question above

• A

• B

• C

• D