Questions:
Systems of Equations + Real Life Application
1. a. X + Y=6 ; 2X + Y =8
b. 7X + 3Y=14 ; 5X + 9Y= 10
c. 4X + Y= 16 ; 2X + 3Y= 24
d. 12X + Y= 25 ; 8X - 2Y= 14
2. Suppose Bob owns 8000 shares of company X and 6000 shares of Company Y. The total value of Bobs holding of these 2 companies is $680,000.
Suppose Frank owns 2000 shares of company X and 1000 shares of company Y. The total value of Franks holding for these 2 companies is $680,000
please write an equation for Bobs and franks holdings. Usa Variable X and Y to represent the values of shares of Company X and Company Y.
solve the value of a share of Company X and company Y.
3. solve for X,Y and Z in the following systems of three equations
a. X + 2Y + Z =6 X + Y = 4 3X + Y + Z= 8
b. 10X + Y + Z = 12 8X + 2Y + Z = 11 20X - 10Y -2Z= 8
c. 22X + 5Y + 7Z = 12 10X + 3Y +2Z=5 9X + 2Y + 12Z = 14
4. Think of a real life example of a system of linear equation. Write a brief example describing the system of equation