For Exercises 11–34, solve the system of equations. (See Examples 1–2.)
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Beginning and Intermediate Algebra
- Show all work to verify if the given point is a solution to the system of equations.arrow_forwardThe owl population in a year n can be divided into juveniles, subadults andadults. Adults produce, on average, 0.4 juveniles each year. Approximately53% of juveniles survive to be subadults the next year, while 73% of subadultssurvive to become adults. Approximately 89% of the adult population survivesfrom one year to the next.1. Write down the equations for juveniles, subadults and adults in the year n+1 as functions of the juvenile,subadult and adult populations at year n. Explain all terms.2. Carefully explaining your notation and the terms, write down a matrix equation of the form pn+1 = Apn. 3. If there are 21 juveniles, 17 subadults and 53 adults this year, how many of each would we expect nextyear? 4. What is the equation that would describe the population in 5 years? (Do not calculate it!)arrow_forwardUsing the method of addition, is there only one way to solve the system?arrow_forward
- Write 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_forwardWhich of the following methods does one use for solving a system of linear equations?arrow_forwardFind the value of c which makes it possible to solve the linear system below. Show and explain solution.arrow_forward
- 1) Find the general solution of the linear system. x = -5 6-4 X.arrow_forwardShow all work to verify if the given point is a solution to the system of equations. (3y² + 3x² = 6 4y² — 16x² + 12 = 0 Point: (-1,-1)arrow_forwardIs it possible for a system of equations which involves two or more variables to have no solution? Does this system of equations have a solution? 2x + 3y = 6, 2x + 3y = 12? How can one deduce whether a system of equations has a solution? Explain.arrow_forward
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