Graphing Calculator Activities
For each of the following systems, (a) use your graphing calculator to show that there are no real number solutions, and (b) solve the system by the substitution method or the eliminationbyaddition method to find the complex solutions.
(a)

(b)

(c)

(d)

(e)

(f)

(a)
To show:
There is no real number solution for the given system using graphing calculator and to find the complex solution by substitution method or eliminationbyaddition method.
Approach:
A system of non linear equations is a system of two or more equations in which two or more variables containing at least one equation that is not linear. Linear equation can be written in the form of
Step1: Graph both the equations.
Step2: Find out the intercepts of equations.
Step3: Find the points where two graphs intersect.
Calculation:
Given:
From the above system, the equation
Let us graph the system.
We see that the graphs of both the equations do not intersect which shows that there is no real solution for the given system.
Now, let us solve the system of equations using substitution method:
Consider the given equations,
(b)
To show:
There is no real number solution for the given system using graphing calculator and to find the complex solution by substitution method or eliminationbyaddition method.
(c)
To show:
There is no real number solution for the given system using graphing calculator and to find the complex solution by substitution method or eliminationbyaddition method.
(d)
To show:
There is no real number solution for the given system using graphing calculator and to find the complex solution by substitution method or eliminationbyaddition method.
(e)
To show:
There is no real number solution for the given system using graphing calculator and to find the complex solution by substitution method or eliminationbyaddition method.
(f)
To show:
There is no real number solution for the given system using graphing calculator and to find the complex solution by substitution method or eliminationbyaddition method.
Essentials of Statistics for The Behavioral Sciences (MindTap Course List)
Calculus (MindTap Course List)
Precalculus: Mathematics for Calculus (Standalone Book)
Finite Mathematics and Applied Calculus (MindTap Course List)
Finite Mathematics
Single Variable Calculus: Early Transcendentals, Volume I
Probability and Statistics for Engineering and the Sciences
Single Variable Calculus
Calculus: An Applied Approach (MindTap Course List)
Calculus: Early Transcendental Functions
Applied Calculus
Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach
Statistics for The Behavioral Sciences (MindTap Course List)
Calculus: Early Transcendentals
Multivariable Calculus
Understanding Basic Statistics
Essentials Of Statistics
Elementary Technical Mathematics
Mathematical Applications for the Management, Life, and Social Sciences
Contemporary Mathematics for Business & Consumers
Mathematical Excursions (MindTap Course List)
Elementary Geometry For College Students, 7e
Elements Of Modern Algebra
Trigonometry (MindTap Course List)
Calculus: Early Transcendental Functions (MindTap Course List)
Calculus of a Single Variable
Single Variable Calculus: Early Transcendentals
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Elementary Geometry for College Students
Introduction To Statistics And Data Analysis
Finite Mathematics for the Managerial, Life, and Social Sciences
Study Guide for Stewart's Multivariable Calculus, 8th
College Algebra (MindTap Course List)
Research Methods for the Behavioral Sciences (MindTap Course List)
Mathematics For Machine Technology
Statistics for Business & Economics, Revised (MindTap Course List)
Research Methods for the Behavioral Sciences (MindTap Course List)
STATISTICS F/BUSINESS+ECONOMICSTEXT
Multivariable Calculus
Calculus (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Discrete Mathematics With Applications
Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)
A First Course in Differential Equations with Modeling Applications (MindTap Course List)
Mathematics: A Practical Odyssey
Essentials Of Statistics For Business & Economics