For Exercises 35–46, solve the system. If there is not a unique solution, state whether the system is inconsistent or the equations are dependent. (See Examples 1–4.)
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- Write a uniform motion problem similar to Example 4.15 that relates to where you live with your friends or family members. Then translate to a system of equations and solve it.arrow_forwardЗх — 2у %3D 8 2х + 3у %3D 1 A3: Solve the linear system; E2 : ! !arrow_forward4. Solve the system of algebraic equations. X1 +2x2- x3 2x1 + x2 + x3 1 X1 – X2 + 2x3 -1 %3Darrow_forward
- By setting up and solving an appropriate system of linear equations, determine whether there is a parabola that passes through the points (-1,2), (0, –1), and (1,3). 2.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_forwardxi + 2x2 – 3x3 3.x1 – x2 – 2x3 2.x1 + 3x2 – 5x3 = -2 4. Find the value of k for which the system of equations = 1 is consistent | = karrow_forward
- Solve the system. 1/3x+1/3y=0 1/3x-1/3y=4/3arrow_forwardII. Solve the system of equations (2x - y = 3 (3x + 2y = 1arrow_forwardThe set of data below shows the sales y of a product in millions x years after 2004. It can be modeled by f(x) = ax + bx +c. Use the table to answer parts a through c. 4 y 5 55 140 (a) Write a linear system whose solution represents values of a, b, and c. Choose the correct answer below. OB. C = 55arrow_forward
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