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Quantative Reasoning: Solve linear equations

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Quantative Reasoning

Module 3 - Case
Systems of Linear Equations

Turn in your answers to the following problems below. Make sure you show all your work so you can get partial credit even if you get the final answer wrong.

1. Solve for X and Y in the following problems. Make sure you show all your work so you can get partial credit even if your final answer is wrong.
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

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Solution Summary

The solution examines quantitative reasoning. Linear equations are solved.

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