Solving 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 shape does the graph of a quadratic equation form?

• Circle

• Line

• Parabola

• Ellipse

What method involves solving for one variable and substituting?

• Graphing

• Substitution method

• Elimination method

• Factoring

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

• 0, 1, or 2

• Always 2

• Exactly 1

• Infinite solutions

• 2 and -2

• 4 and -4

• 1 and -1

• 0 and -4

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

• 2

• 1

• Infinite

• 0

• (0, 0) and (4, 2)

• (1, 1) and (5, 5)