alegegra test
Solve the following system.

2x + y
= 2 
A. {(2, 1, 4)} 
B. {(1, 0, 3)} 
C. {(0, 0, 2)} 
D. {(3, 2, 1)} 
Write the
partial fraction decomposition for the following rational expression.
x^{2}– 6x +
3/(x – 2)^{3}
A. 1/x – 4 – 2/(x – 2)^{2} – 6/(x – 2) 

B. 1/x – 2 – 4/(x – 2)^{2} – 5/(x – 1)^{3} 

C. 1/x – 3 – 2/(x – 3)^{2} – 5/(x – 2) 

D. 1/x – 2 – 2/(x – 2)^{2} – 5/(x – 2)^{3} Evaluate
the following expression without using a calculator.

Solve the
following system by the substitution method.
{x + y = 4
{y = 3x
A. {(1, 4)} 
B. {(3, 3)} 
C. {(1, 3)} 
D. {(6, 1)} 
Solve the following system.

2x + 4y
+ 3z = 2 
A. {(3, 2, 6)} 
B. {(4, 8, 3)} 
C. {(3, 1, 5)} 
D. {(1, 4, 1)} 
Solve each equation by the substitution method.

x^{2} 4y^{2}= 7 
A. {(2, 2), (3, 2), (1, 2), (4, 2)} 

B. {(7, 2), (3, 2), (4, 2), (3, 1)} 

C. {(4, 2), (3, 2), (5, 2), (2, 2)} 

D. {(3, 2), (3, 2), (3, 2), (3, 2)} Perform
the long division and write the partial fraction decomposition of the
remainder term.

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