Concept explainers
Epidemiology A flu epidemic is spreading through a town of 48,000 people. It is found that, if x and y denote the numbers of people sick and well in a given week, respectively, and if s and w denote the corresponding numbers for the following week, then
(a) Write this system of equations in matrix form.
(b) Solve the resulting matrix equation for
(c) Suppose that 13,000 people are sick in a given week. How many were sick the preceding week?
(d) Same question as part (c), except assume that 14,000 are sick.
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
Finite Mathematics & Its Applications (12th Edition)
- One hundred liters of a 50% solution is obtained by mixing a 60% solution with a 20% solution. Use a system of linear equations to determine how many liters of each solution are required to obtain the desired mixture. Solve the system using matrices.arrow_forwardWrite the system of equations that corresponds to the augmented matrix: [111423181113] .arrow_forwardSolve for x,y,z and w in the matrix equation wxyx=-432-1+2ywzx.arrow_forward
- Write each system of linear equations as an augmented matrix: (a) {3x+8y=32x=5y3 (b){2x5y+3z=83xy+4z=7x+3y+2z=3arrow_forwardWrite each system of linear equations as an augmented matrix. 377. {4x+3y=2x2y3z=72xy+2z=6arrow_forwardLet A=[1235], X=[x1x2] and B=[412], Show that the equation AX=B represents a linear system of two equations in two unknowns. Solve the system and substitute into the matrix equation to check you results.arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
- Algebra for College StudentsAlgebraISBN:9781285195780Author:Jerome E. Kaufmann, Karen L. SchwittersPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning