The reduced row echelon fom of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x and y as Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. What equation does the first row represent? O Type an equation.) What equation does the second row represent? O Type an equation.) Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. Select the correct choice below and, if necessary, fill i to complete your choice. O A. The system is consistent. The solution is (Type an ordered pair. Simplify your answer.) O B. The system is consistent. There are infinitely many solutions. The solution can be written as (x.y)|x=y is any real number}. (Simplify your answer. Type an expression using y as the variable.) inconrietent

The reduced row echelon fom of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x and y as Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. What equation does the first row represent? O Type an equation.) What equation does the second row represent? O Type an equation.) Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. Select the correct choice below and, if necessary, fill i to complete your choice. O A. The system is consistent. The solution is (Type an ordered pair. Simplify your answer.) O B. The system is consistent. There are infinitely many solutions. The solution can be written as (x.y)|x=y is any real number}. (Simplify your answer. Type an expression using y as the variable.) inconrietent

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Matrices And Determinants

Section7.3: The Inverse Of A Square Matrix

Problem 65E: Floral Design: A florist is creating 10 centerpieces. Roses cost $2.50 each, lilies cost $4 each,...

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Floral Design: A florist is creating 10 centerpieces. Roses cost $2.50 each, lilies cost $4 each, and irises cost $2 each. The customer has a budget of $300 allocated for the centerpieces and wants each centerpiece to contain 12 flowers, with twice as many roses as the number of irises and lilies combined. (a) Write a system of linear equations that represents the situation. Then write a matrix equation that corresponds to your system. (b) Solve your system of linear equations using an inverse matrix. Find the number of flowers of each type that the florist can use to create the 10 centerpieces.