es) K Solve the problem using two variables and a system of two equations. Solve the system by the method of your choice. A farmer has some buffalos and peacocks. One day he observed that his animals, which are normal, have 78 eyes and 110 legs. How many animals of each type does he have? GLIDE Select the correct choice below and, if necessary, fill in the answer box to complete your choice OA. The system of equations representing the given problem is inconsistent and has no solution. OB. The system of equations representing the given problem is dependent and has multiple solutions. OC. The system of equations representing the given problem has a single solution. The farmer has and peacocks. buffalos

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Solving Systems of Equations (Two Variables)**

**Problem Description:**

Solve the problem using two variables and a system of two equations. Solve the system by the method of your choice.

A farmer has some buffalos and peacocks. One day he observed that his animals, which are normal, have 78 eyes and 110 legs. How many animals of each type does he have?

---

**Answer Options:**

Select the correct choice below and, if necessary, fill in the answer box to complete your choice:

A. The system of equations representing the given problem is inconsistent and has no solution.

B. The system of equations representing the given problem is dependent and has multiple solutions.

C. The system of equations representing the given problem has a single solution. The farmer has ___ buffalos and ___ peacocks.

---

**Instructions:**

- Use your knowledge of algebra to form equations based on the given scenario.
- Evaluate each option and determine which statement correctly describes the system of equations formed.
- If choosing option C, calculate the number of buffalos and peacocks and fill in the blanks.
Transcribed Image Text:**Solving Systems of Equations (Two Variables)** **Problem Description:** Solve the problem using two variables and a system of two equations. Solve the system by the method of your choice. A farmer has some buffalos and peacocks. One day he observed that his animals, which are normal, have 78 eyes and 110 legs. How many animals of each type does he have? --- **Answer Options:** Select the correct choice below and, if necessary, fill in the answer box to complete your choice: A. The system of equations representing the given problem is inconsistent and has no solution. B. The system of equations representing the given problem is dependent and has multiple solutions. C. The system of equations representing the given problem has a single solution. The farmer has ___ buffalos and ___ peacocks. --- **Instructions:** - Use your knowledge of algebra to form equations based on the given scenario. - Evaluate each option and determine which statement correctly describes the system of equations formed. - If choosing option C, calculate the number of buffalos and peacocks and fill in the blanks.
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