Check your understanding. For these exercise, write your solution in another sheet of paper, be organized

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Check your understanding.

For these exercise, write your solution in another sheet of paper, be organized

 

variable by adding opposite coefficients of corresponding variables. It IB oiten necessary to multintyc
or both equations by a constant to facilitate elimination of a variable when adding the two eetie
together.
Method
When to Use
Graphing
Substitution
To estimate solutions
When one variable in one of the equations has aa cocfficient of 1 or-1
When at least one pair of like terms has the same or opposite coefficients
When one of the variables cannot be eliminated by adding or subtracting the
equations
Elimination
Elimination (multiply first)
Table 3 When to use the different methods in solving systems of linear equations
Check your Understanding
For these exercises, write your solutions in another sheet of paper, be organized.
1. An onion costs two pesos while a tomato costs three pesos. If eleven pieces of onions and tomatoes cost thirty
pesos, how many onions are there? How about tomatoes? Use graphing method in solving the problem.
2. A total of 24 students are in Mathy's class. The number of girls in the class is 3 mnore than twice the number
of boys. How many boys and girls are there in the class? Use substitution method in solving the problem.
3. Drei has 22 coins that consist of one peso and five pesos. The coins total forty-six pesos. How many one peso
and five pesos does he have? Use elimination mnethod in solving the problem.
Post-test
Read the following questions carefully and choose the letter that describes the correct answer. Write your
answer on a separate sheet of paper.
1. In this system of equation, 2x+6y-3 what should you do to eliminate the variable x?
4x+2Y3D6J
A. Multiply both equations by -2.
B. Multiply the first equation by -2.
C Multiply the first equation by-1.
D. Multiply the second equation by -3.
Transcribed Image Text:variable by adding opposite coefficients of corresponding variables. It IB oiten necessary to multintyc or both equations by a constant to facilitate elimination of a variable when adding the two eetie together. Method When to Use Graphing Substitution To estimate solutions When one variable in one of the equations has aa cocfficient of 1 or-1 When at least one pair of like terms has the same or opposite coefficients When one of the variables cannot be eliminated by adding or subtracting the equations Elimination Elimination (multiply first) Table 3 When to use the different methods in solving systems of linear equations Check your Understanding For these exercises, write your solutions in another sheet of paper, be organized. 1. An onion costs two pesos while a tomato costs three pesos. If eleven pieces of onions and tomatoes cost thirty pesos, how many onions are there? How about tomatoes? Use graphing method in solving the problem. 2. A total of 24 students are in Mathy's class. The number of girls in the class is 3 mnore than twice the number of boys. How many boys and girls are there in the class? Use substitution method in solving the problem. 3. Drei has 22 coins that consist of one peso and five pesos. The coins total forty-six pesos. How many one peso and five pesos does he have? Use elimination mnethod in solving the problem. Post-test Read the following questions carefully and choose the letter that describes the correct answer. Write your answer on a separate sheet of paper. 1. In this system of equation, 2x+6y-3 what should you do to eliminate the variable x? 4x+2Y3D6J A. Multiply both equations by -2. B. Multiply the first equation by -2. C Multiply the first equation by-1. D. Multiply the second equation by -3.
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