System of Linear Equations Solve Research Proposal

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Use the variables X and Y to represent the values of shares of Company X and Company Y.

2000X + 10000Y = 340,000

8000X + 6000 Y = 340,000

Solve for the value of a share of Company X and Company Y. Show your work.

2000x = 340,000 -- 10000y

x = 170 -- 5y

8000 (170 -- 5y) + 6000y = 340,000

1,360,000 -- 40,000y + 6000y = 340,000

-34,000y = -1020000

y = 30

2000x + 300000 = 340,000

2000x = 40,000

3. Solve for X, Y, and Z. In the following systems of three equations:

a.

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X + Y + 2Z = 5

X + Y = 5

X + 3Y + Z = 11

z = 11 -- x -- 3y

x = 5 -- y

(5 -- y + y + 2(11-x-3y) = 5

5 + 22 -- 2x -- 6y = 5

27 -- 2 (5-y).....

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