5.-Systems-of-Nonlinear-Equations Mathematics.pdf

for mathematics students

1. Mr. Bayani V. Enriquez, Ed.D.
Instructor
SYSTEMS OF
NONLINEAR
EQUATIONS
MR. BAYANI V. ENRIQUEZ, ED.D.
Instructor

2. LEARNING OUTCOMESOF THE LESSON
solve situational problems involving systems of
nonlinear equations.03
illustrate systems of nonlinear equations;01
determine the solutions of systems of
nonlinear equations using techniques such as
substitution, elimination, and graphing; and02
At the end of the lesson, the student is able to:

3. LESSON OUTLINE
Solving a system involving one linear
and one quadratic equations03
Review systems of linear equations01
Solving a system involving one linear
and one quadratic equation02
04
Applications of systems of nonlinear
equations

4. INTRODUCTION
Afterrecallingthetechniquesusedinsolvingsystemsof
linearequationsinGrade8,weextendthesemethodstosolvinga
systemofequationstosystemsinwhichtheequationsarenot
necessarilylinear.Inthislesson,theequationsarerestrictedtolinear
andquadratictypes,althoughitispossibletoadaptthemethodology
sosystemswithothertypesofequations.Wefocusonquadratic
equationsfortworeasons:toincludeagraphicalrepresentationof
thesolutionandtoensurethateitherasolutionisobtainedoritis
determinedthatthereisnosolution.Thelatterispossiblebecauseof
thequadraticformula.

5. Review of Techniques in Solving Systems of Linear Equations

6. Review of Techniques in Solving Systems of Linear Equations

7. Review of Techniques in Solving Systems of Linear Equations

8. PRACTICE
Use either substitution or elimination method to solve
the system, and sketch the graphs in one Cartesian
plane showing the point of intersection

9. VENUS
MERCURY
30%
SUBSTITUTION METHOD

11. Jupiter is a gas giant and the biggest planet in
our Solar System. It’s the fourth-brightest
object in the sky
INDUSTRIAL
BUILDINGS
ELIMINATION METHOD

16. Applications of Systems of Nonlinear Equations

18. REVENUE LAST YEAR
2,000
PRACTICE
EMPLOYEES
$50,000,000
Solve the system using the elimination or substitution
methods, then check your work using graphical method.

19. ASSIGNMENT
2.