1.3 System in 3 variables CFA

3

Find the solution to the given system of three equations in three variables.
2x + y − 3z = 0
4x + 2y − 6z = 0
x − y + z = 0

1

3y - 4z = 9
2x - 2y - 3z = 0
2x + 5y + z = 21
x = _______ 
y = _______
z =_______ 

1

-5x + 2y - 5z = 0
x - 3y - 4z = -5
-2y - 4z = -4

x = _______
y = _______ 
z = _______ 

1

3x − 4y + 2z = −15
2x + 4y + z = 16
2x + 3y + 5z = 20

x =_______ 
y =_______
z =_______ 

1

x + y + z = 0
2x − y + 3z = 0
x − z = 1

x = _______ 
y = _______ 
z = _______ 

4

John invested his inheritance of $12,000 in three different funds: part in a money-market fund paying 3% interest annually; part in municipal bonds paying 4% annually, and the rest in mutual funds paying 7% annually. John invested $4,000 more in mutual funds than he invested in municipal bonds.The total interest earned in one year was $670. How much did he invest in each type of fund?

Money Market  _______ 
Municipal Bonds_______ 
Mutual Funds  _______ 

1.3 System in 3 variables CFA

Find the solution to the given system of three equations in three variables.2x + y − 3z = 04x + 2y − 6z = 0x − y + z = 0

Find the solution to the given system of three equations in three variables.
2x + y − 3z = 0
4x + 2y − 6z = 0
x − y + z = 0