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CalculusCalculus: An Applied Approach (MindTap Course List)10th Edition

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Chapter 7.5, Problem 4SWU
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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
1 views

In Exercises 1-8, solve the system of equations.

{ x − y = 8 2 x − y = 2

To determine

To calculate: The solution of system of the equations x+y=8 and 2x−y=−2.

Explanation

Given Information:

The equations of the system are:

x+y=82x−y=−2

Formula used:

A system of linear equation can be solved using the method of elimination. To solve the system of equation using elimination follow the following procedure:

Step 1: Arrange both equations such that the like variables and constants are one above the other.

Step 2: Decide which variable to eliminate and with proper choice of multiplication, arrange so that the coefficients of that variable are same or opposite in sign for another.

Step 3: Add the equations if they are of opposite sign and subtract the equations if they are same sign leaving one equation with one variable.

Step 4: Solve for the remaining one variable.

Step 5: Substitute the value found in the above step in any equation involving both variables and solve for the other variable.

Calculation:

Consider the given equations

x+y=82x−y=−2

Solving the above equations by the method of elimination.

Eliminating the variable ‘y’ by adding the both equations as:

x+y+2x−y=8−23x=6x=2

Substituting x=2 in x+y=8,

2+y=8y=8−2y=6

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Sect-7.1 P-1CPSect-7.1 P-2CPSect-7.1 P-3CPSect-7.1 P-4CPSect-7.1 P-5CPSect-7.1 P-6CPSect-7.1 P-7CPSect-7.1 P-1SWUSect-7.1 P-2SWUSect-7.1 P-3SWU
Sect-7.1 P-4SWUSect-7.1 P-5SWUSect-7.1 P-6SWUSect-7.1 P-7SWUSect-7.1 P-8SWUSect-7.1 P-1ESect-7.1 P-2ESect-7.1 P-3ESect-7.1 P-4ESect-7.1 P-5ESect-7.1 P-6ESect-7.1 P-7ESect-7.1 P-8ESect-7.1 P-9ESect-7.1 P-10ESect-7.1 P-11ESect-7.1 P-12ESect-7.1 P-13ESect-7.1 P-14ESect-7.1 P-15ESect-7.1 P-16ESect-7.1 P-17ESect-7.1 P-18ESect-7.1 P-19ESect-7.1 P-20ESect-7.1 P-21ESect-7.1 P-22ESect-7.1 P-23ESect-7.1 P-24ESect-7.1 P-25ESect-7.1 P-26ESect-7.1 P-27ESect-7.1 P-28ESect-7.1 P-29ESect-7.1 P-30ESect-7.1 P-31ESect-7.1 P-32ESect-7.1 P-33ESect-7.1 P-34ESect-7.1 P-35ESect-7.1 P-36ESect-7.1 P-37ESect-7.1 P-38ESect-7.1 P-39ESect-7.1 P-40ESect-7.1 P-41ESect-7.1 P-42ESect-7.1 P-43ESect-7.1 P-44ESect-7.2 P-1CPSect-7.2 P-2CPSect-7.2 P-3CPSect-7.2 P-1SWUSect-7.2 P-2SWUSect-7.2 P-3SWUSect-7.2 P-4SWUSect-7.2 P-5SWUSect-7.2 P-6SWUSect-7.2 P-1ESect-7.2 P-2ESect-7.2 P-3ESect-7.2 P-4ESect-7.2 P-5ESect-7.2 P-6ESect-7.2 P-7ESect-7.2 P-8ESect-7.2 P-9ESect-7.2 P-10ESect-7.2 P-11ESect-7.2 P-12ESect-7.2 P-13ESect-7.2 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P-2SWUSect-7.7 P-3SWUSect-7.7 P-4SWUSect-7.7 P-5SWUSect-7.7 P-6SWUSect-7.7 P-7SWUSect-7.7 P-8SWUSect-7.7 P-1ESect-7.7 P-2ESect-7.7 P-3ESect-7.7 P-4ESect-7.7 P-5ESect-7.7 P-6ESect-7.7 P-7ESect-7.7 P-8ESect-7.7 P-9ESect-7.7 P-10ESect-7.7 P-11ESect-7.7 P-12ESect-7.7 P-13ESect-7.7 P-14ESect-7.7 P-15ESect-7.7 P-16ESect-7.7 P-17ESect-7.7 P-18ESect-7.7 P-19ESect-7.7 P-20ESect-7.7 P-21ESect-7.7 P-22ESect-7.7 P-23ESect-7.7 P-24ESect-7.7 P-25ESect-7.7 P-26ESect-7.7 P-27ESect-7.7 P-28ESect-7.7 P-29ESect-7.7 P-30ESect-7.8 P-1CPSect-7.8 P-2CPSect-7.8 P-3CPSect-7.8 P-4CPSect-7.8 P-5CPSect-7.8 P-6CPSect-7.8 P-1SWUSect-7.8 P-2SWUSect-7.8 P-3SWUSect-7.8 P-4SWUSect-7.8 P-5SWUSect-7.8 P-6SWUSect-7.8 P-7SWUSect-7.8 P-8SWUSect-7.8 P-9SWUSect-7.8 P-10SWUSect-7.8 P-11SWUSect-7.8 P-12SWUSect-7.8 P-13SWUSect-7.8 P-14SWUSect-7.8 P-15SWUSect-7.8 P-16SWUSect-7.8 P-1ESect-7.8 P-2ESect-7.8 P-3ESect-7.8 P-4ESect-7.8 P-5ESect-7.8 P-6ESect-7.8 P-7ESect-7.8 P-8ESect-7.8 P-9ESect-7.8 P-10ESect-7.8 P-11ESect-7.8 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Calculus (MindTap Course List)

16. IQ test scores are standardized to produce a normal distribution with a mean of µ = 100 and a standard devi...

Statistics for The Behavioral Sciences (MindTap Course List)

Expand Your Knowledge Donut Pie Charts The book The Wall Street Journal. Guide to Information Graphics by Dona ...

Understanding Basic Statistics

What do all members of the family of linear functions f(x) = 1 + m(x + 3) have in common? Sketch several member...

Single Variable Calculus

In Exercises 516, evaluate the given quantity. log1/212

Finite Mathematics

For Problems 51-66, use an algebraic approach to solve each problem. Objective 2 An apartment complex contains ...

Intermediate Algebra

In Problems 39 – 44, solve each inequality and graph the solution. 43.

Mathematical Applications for the Management, Life, and Social Sciences

Vehicle speed on a particular bridge in China can be modeled as normally distributed (Fatigue Reliability Asses...

Probability and Statistics for Engineering and the Sciences

Use inductive reasoning to decide whether each statement is correct. Note: The numbers 1, 2, 3, 4, 5, are calle...

Mathematical Excursions (MindTap Course List)

Find the indicated roots. Sketch the roots in the complex plane. 40. The cube roots of 1 + i

Single Variable Calculus: Early Transcendentals

Factor each trinomial completely: 5a2+35a+60

Elementary Technical Mathematics

8. The interest rate of most lines of credit is tied to the movement of the ______ rate. (13-3)

Contemporary Mathematics for Business & Consumers

True or False Label each of the following statements as either true or false. 4. Any automorphism is an isomor...

Elements Of Modern Algebra

Find all solutions, to the nearest tenth of a degree, in the interval 0360. 5sin23sin=2

Trigonometry (MindTap Course List)

In Exercises 33 to 38, use algebra to find the point of intersection of the two lines whose equations are provi...

Elementary Geometry For College Students, 7e

Removable and Nonremovable Discontinuities In Exercises 3762, find the x-values (if any) at which f is not cont...

Calculus: Early Transcendental Functions (MindTap Course List)

Finding a General Solution Using Separation of Variables In Exercises 5-18, find the general solution of the di...

Calculus of a Single Variable

a. What is a solution set of a system of linear inequalities? b. How do you find the graphical solution of syst...

Finite Mathematics for the Managerial, Life, and Social Sciences

In Exercises 5 to 10, classify each statement as simple, conditional, a conjunction, or a disjunction. If Alice...

Elementary Geometry for College Students

True or False: is a convergent series.

Study Guide for Stewart's Multivariable Calculus, 8th

Finding a Vector In Exercises 53-56, find the component form of u+v given the lengths of u and v and the angles...

Calculus

Evaluating a Double Integral In Exercises 1320, set up integrals for both orders of integration. Use the more c...

Multivariable Calculus

Sometimes, Always, or Never: If f(c) = 0, then c is a critical number.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Writing the Terms of a Sequence In Exercises 5-10. write the first live terms of the sequence with the given nt...

Calculus (MindTap Course List)

Refer to the Costello Music Company problem in exercise 49. a. Using time series decomposition, compute the sea...

Statistics for Business & Economics, Revised (MindTap Course List)

Define an operational definition and explain the purpose and the limitations of operational definitions.

Research Methods for the Behavioral Sciences (MindTap Course List)

The Tennessean, an online newspaper located in Nashville, Tennessee, conducts a daily poll to obtain reader opi...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

Define a nonequivalent group design and identify examples of this research design when it appears in a research...

Research Methods for the Behavioral Sciences (MindTap Course List)

Suppose that, starting at a certain time, batteries coming off an assembly line are examined one by one to see ...

Introduction To Statistics And Data Analysis

Change each decimal into a common fraction. 0.17-

College Algebra (MindTap Course List)

Determine the sine, cosine, or tangent functions of the following angels. Round the answers to 5 decimal places...

Mathematics For Machine Technology

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