Question 1

Solve the system by the addition method.
-$$\left\{ \begin{array} { l } 
5 x - 2 y = - 1 \
7 x + 4 y = 53
\end{array} \right.$$

Accepted Answer

A)  $\varnothing$ 
B)  $\{ ( 3,8 ) \}$ 
C)  $\{ ( 3,9 ) \}$ 
D)  $\{ ( x , y ) \mid 5 x - 2 y = - 1 \}$ 
A)  $\varnothing$ 
B)  $\{ ( 3,8 ) \}$ 
C)  $\{ ( 3,9 ) \}$ 
D)  $\{ ( x , y ) \mid 5 x - 2 y = - 1 \}$

Question 2

Solve the problem.
-A company's expenses included many factors. In 2012, travel costs were 2.62% of the expense budget, increasing by 0.22% of the total expense budget per year. In 2012, office supplies were 5.71% of the expense budget, increasing by 0.05% of the total expense budget per year. Write a system of equations with two functions. Write one function that models the cost of travel as a percentage of the total expense budget x years after 2012, and another function that models the cost of office supplies as a percentage of the total expense budget x years after 2012.

Accepted Answer

A)  $y = 2.62 x + 0.22$
$y = 5.71 x + 0.22$ 
B)  $y = - 0.22 x + 2.62$
$y = - 0.05 x + 5.71$ 
C)  $y = 0.22 x$
$y = 0.05 x$ 
D)  $y = 0.22 x + 2.62$
$y = 0.05 x + 5.71$ 
A)  $y = 2.62 x + 0.22$
$y = 5.71 x + 0.22$ 
B)  $y = - 0.22 x + 2.62$
$y = - 0.05 x + 5.71$ 
C)  $y = 0.22 x$
$y = 0.05 x$ 
D)  $y = 0.22 x + 2.62$
$y = 0.05 x + 5.71$

Question 3

Determine if the given ordered triple is a solution of the system.
-$\left\{ \begin{array} { l } 1 , - 2,2 ) \ x - y + z = 5 \ x + y + z = 1 \ x + y - z = - 3 \end{array} \right.$

Accepted Answer

A)  solution 
B)  not a solution 
A)  solution 
B)  not a solution

Question 4

Determine if the given ordered triple is a solution of the system.
-$$\left\{ \begin{array} { c } 
( - 3,2,3 ) \
x + y + z = 2 \
x - y + 2 z = - 5
\end{array} \right.$$

Accepted Answer

A)  solution 
B)  not a solution 
A)  solution 
B)  not a solution

Solve the system by the addition method. - $\left\{ \begin{array} { l } 5 x - 2 y = - 1 \\7 x + 4 y = 53\end{array} \right.$

Determine if the given ordered triple is a solution of the system. - $\left\{ \begin{array} { l } 1 , - 2,2 ) \\ x - y + z = 5 \\ x + y + z = 1 \\ x + y - z = - 3 \end{array} \right.$

Determine if the given ordered triple is a solution of the system. - $\left\{ \begin{array} { c } ( - 3,2,3 ) \\x + y + z = 2 \\x - y + 2 z = - 5\end{array} \right.$

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Exam 3: Systems of Linear Equations

Solve the system by the addition method. - {5x−2y=−17x+4y=53\left\{ \begin{array} { l } 5 x - 2 y = - 1 \\7 x + 4 y = 53\end{array} \right.{5x−2y=−17x+4y=53​

Determine if the given ordered triple is a solution of the system. - {1,−2,2)x−y+z=5x+y+z=1x+y−z=−3\left\{ \begin{array} { l } 1 , - 2,2 ) \\ x - y + z = 5 \\ x + y + z = 1 \\ x + y - z = - 3 \end{array} \right.⎩⎨⎧​1,−2,2)x−y+z=5x+y+z=1x+y−z=−3​

Determine if the given ordered triple is a solution of the system. - {(−3,2,3)x+y+z=2x−y+2z=−5\left\{ \begin{array} { c } ( - 3,2,3 ) \\x + y + z = 2 \\x - y + 2 z = - 5\end{array} \right.⎩⎨⎧​(−3,2,3)x+y+z=2x−y+2z=−5​