In Exercise 61-68, solve each system or state that the system is inconsistent or dependent.
61.
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EBK INTRODUCTORY ALGEBRA FOR COLLEGE ST
- Take a handful of two types of coins, and write a problem similar to Example 5.46 relating the total number of coins and their total value. Set up a system of equations to describe your situation and then solve it.arrow_forwardWrite a uniform motion problem similar to Example 5.42 that relates to where you live with your friends or family members. Then translate to a system of equations and solve it.arrow_forwardCreate an example of a system of equations with 2 variables that's has infinitely many solutions.arrow_forward
- Draw a second line on the groph in order to demonstrate a system of equations with one solution . Record your equation .arrow_forwardWhat are the solutions of the system of equations y = –(x + 2)2 + 1 and y = 3x + 7? (–2, 1) and (5, –8) (–2, 1) and (–5, –8) (2, –3) and (–5, –8) (–2, –3) and (–5, –8)arrow_forwardDraw a second line on the graph in order to demonstrate a system of equations with no solution . Record your equation .arrow_forward
- From 5 methods of solving systems of linear equations that you have learnt, which methods will not give an exact solution? Why?arrow_forwardSolve 2x + 5y = -4, 3x - y = 11 by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.arrow_forwardHow can I create a system of linear equations with the singular solution (4,−32)? How can I define a different line that passes through the point (4,−32) How can I show that your system of linear equations has only the shared solution (4,−32) through substitution or eliminationarrow_forward
- A system of equations that has no solution is called an __________ system.arrow_forwardThe number of new users y (in millions) for a certain website between August 2008 and May 2009 can be modeled by the equation y=ax2+bx+c, where x represents the age of the user. Using the ordered pair solutions (15,1), (35,8),and (55,5), create a system of linear equations in three variables for a, b, and c. Do this by substituting each ordered pair solution into the model, creating an equation in three variables. Solve the resulting system to find the coefficients of the model. Then use the model to predict the number of new users for the website who were 40 years old.arrow_forwardTrue or false: If {(2z + 3, 5z - 1, z)} is the solution set of a system with dependent equations, then (5, 4, 1) is a solution of this system.________arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillElementary AlgebraAlgebraISBN:9780998625713Author:Lynn Marecek, MaryAnne Anthony-SmithPublisher:OpenStax - Rice University