Solve problems for Systems of linear equations
Not what you're looking for?
1. Solve for X and Y in the following problems. Make sure you show all your work.
a. X + Y=7 , X + 2Y = 11
b. 3X + 7Y = 24, 9X + 5Y = 24
c. 4X + Y = 17, 2X + 3Y = 21
d. 18X + Y = 42, 6X - 3Y = -6
2. Suppose Bob owns 2,000 shares of Company X and 10,000 shares of Company Y. The total value of Bob's holdings of these two companies is $340,000.
Suppose Frank owns 8,000 shares of Company X and 6,000 shares of Company Y. The total value of Franks holdings of these two companies is $340,000.
a. Write equations for Bob and Frank's holdings. Use the variables X and Y to represent the values of shares of Company X and Company Y.
b. Solve for the value of a share of Company X and Company Y. Show your work so you can get partial credit even if your final answer is wrong.
3. Solve for X, Y, and Z in the following systems of three equations:
a. X + Y + 2Z = 5
X + Y = 5
X + 3Y + Z = 11
b. X + 10Y + Z = 52
5X + Y + 4Z = 15
X + 2y - 3Z = 12
c. 22X + 5Y + 7Z = 12
10X + 3Y + 2Z = 5
9X + 2Y + 12Z = 14
Purchase this Solution
Solution Summary
This solution shows step-by-step calculations to solve systems of linear equations.
Solution Preview
ANSWERS
1A: X=7-Y, X=11-2Y
7-Y=11-2Y
2Y-Y=11-7
Y=4
X=7-4
X=3
1B: 3X=24-7Y, 9X=24-5Y
(3X=24-7Y)*3 9X=72-21Y
72-21Y=24-5Y
72-24=21Y-5Y
48=16Y
(48=16Y)/16
3=Y
3X=24-7*3
3X=24-21
3X=3
(3X=3)/3
X=1
1C: 4X=17-Y, 2X=21-3Y
(2X=21-3Y)*2 4X=42-6Y
17-Y=42-6Y
6Y-Y=42-17
5Y=25
(5Y=25)/5
Y=5
4X=17-5
4X=12
(4X=12)/4
X=3
1D: 18X=42-Y, 6X=-6+3Y
(6X=6+3Y)*3 18X=-18+9Y
42-Y=-18+9Y
42+18=Y+9Y
60=10Y
(60=10Y)/10
6=Y
18X=42-6
18X=36
(18X=36)/18
X=2
2: Let X the value of each share of Company X
Let Y the value of each share of ...
Purchase this Solution
Free BrainMass Quizzes
Managing the Older Worker
This quiz will let you know some of the basics of dealing with older workers. This is increasingly important for managers and human resource workers as many countries are facing an increase in older people in the workforce
Income Streams
In our ever changing world, developing secondary income streams is becoming more important. This quiz provides a brief overview of income sources.
Operations Management
This quiz tests a student's knowledge about Operations Management
Business Ethics Awareness Strategy
This quiz is designed to assess your current ability for determining the characteristics of ethical behavior. It is essential that leaders, managers, and employees are able to distinguish between positive and negative ethical behavior. The quicker you assess a person's ethical tendency, the awareness empowers you to develop a strategy on how to interact with them.
Paradigms and Frameworks of Management Research
This quiz evaluates your understanding of the paradigm-based and epistimological frameworks of research. It is intended for advanced students.