![College Algebra](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_largeCoverImage.gif)
(a)
To find:
A system of equations in the variables
![Check Mark](/static/check-mark.png)
Answer to Problem 1CC
A system of equations in variables
Explanation of Solution
Calculation:
A system of equations contains the same variables in a set of equation. In the system of linear equation, each equation is linear.
A system of linear equation with a variable
Here,
Conclusion:
A system of equations in variables
(b)
To find:
Three methods to solve a system of equations.
![Check Mark](/static/check-mark.png)
Answer to Problem 1CC
Three methods to solve a system of linear equations are substitution method, elimination method and graphical method.
Explanation of Solution
Calculation:
To solve a system of linear equation three methods are used as,
Substitution method:
To solve a system of linear equation with two variable, first obtain the value of one variable in terms of second variable and then substitute it into any of the two linear equations and obtain the equation in one variable and obtain the solution.
Back substitute the solution of variable that obtained into any of the two linear equations and obtain the solution of second variable.
Elimination method:
To solve a system of linear equation with two variables by elimination method, first multiply the equation with appropriate constants to make equal coefficient for same variable.
Add or subtract the equation and obtain the equation in one variable and get the solution of that variable.
Back substitute the solution of variable that obtained into any of the two linear equations and obtain the solution of second variable.
Graphical method:
To obtain the solution of two equations with two variables by graphical method, first sketch the graph of two equations in a common screen and obtain the intersection point of the equations.
The x -coordinate and y -coordinate of intersection point of the two equations gives the solution of the linear equations.
Conclusion:
Thus, three methods to solve a system of linear equations are substitution method, elimination method and graphical method.
Want to see more full solutions like this?
Chapter 5 Solutions
College Algebra
- Listen MODELING REAL LIFE Your checking account has a constant balance of $500. Let the function m represent the balance of your savings account after t years. The table shows the total balance of the accounts over time. Year, t Total balance 0 $2500 1 $2540 2 $2580.80 3 $2622.42 4 $2664.86 5 $2708.16 a. Write a function B that represents the total balance after t years. Round values to the nearest hundredth, if necessary. B(t) = 500 + 2000(1.02)* b. Find B(8). About $2843.32 Interpret B(8). B I U E T² T₂ c. Compare the savings account to the account, You deposit $9000 in a savings account that earns 3.6% annual interest compounded monthly. B I U E E T² T₂ A = 11998.70 SINCE 9000 is the principal (1+0.036/12)12 times 8 gives me aproxtimately 1997arrow_forwardWhat are the answers for star powerarrow_forwardThe recciprocal rulearrow_forward
- This is an example only. What can be a simialr equation with differnet numbers using logs and can have a mistake in one of the steps and what will be the correct way to solve it. Thanksarrow_forwardCan we have an exponential equation using logarithm however i want to show that one mistake is involved in solving it. Showing the mistake and how to be fixed. Thanks.arrow_forwardIs it possible to show me how to come up with an exponential equation by showing all the steps work and including at least one mistake that me as a person can make. Like a calculation mistake and high light what the mistake is. Thanks so much.arrow_forward
- Consider the weighted voting system [16: 15, 8, 3, 1]Find the Banzhaf power distribution of this weighted voting system.List the power for each player as a fraction: P1: P2: P3: P4:arrow_forwardSolutions of inequalitie Google Classroom Mic Is (-3, 2) a solution of 7x+9y > -3? Choose 1 answer: A Yes B No Related content ▶6:06 Testing solutions to inequalities 2 of 4arrow_forwardAre natural logarithms used in real life ? How ? Can u give me two or three ways we can use them. Thanksarrow_forward
- ?arrow_forwardSolve the equation. Write the smaller answer first. 2 (x-6)² = 36 x = Α x = Previous Page Next Pagearrow_forwardWrite a quadratic equation in factored form that has solutions of x = 2 and x = = -3/5 ○ a) (x-2)(5x + 3) = 0 ○ b) (x + 2)(3x-5) = 0 O c) (x + 2)(5x -3) = 0 ○ d) (x-2)(3x + 5) = 0arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305115545/9781305115545_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781938168383/9781938168383_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305652231/9781305652231_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
![Text book image](https://www.bartleby.com/isbn_cover_images/9781305071742/9781305071742_smallCoverImage.gif)
![Text book image](https://www.bartleby.com/isbn_cover_images/9780547587776/9780547587776_smallCoverImage.jpg)