Question 1

Solve the system of equations using the addition method: a + 3b = 13
A - 3b = -11

Accepted Answer

A)    a=1,b=4a = 1 , b = 4a=1,b=4 
B)    a=2,b=323a = 2 , b = 3 \frac { 2 } { 3 }a=2,b=332​ 
C)    a=0,b=4113a = 0 , b = 41 \frac { 1 } { 3 }a=0,b=4131​ 
D)    a=10,b=1a = 10 , b = 1a=10,b=1

Question 2

Solve this system of equations using the addition method: y = x + 2
Y = x - 2

Accepted Answer

A)  (2,2) 
B)  (-2,2) 
C)  inconsistent; no solution
D)  dependent; many solutions

Question 3

Solve the following system of equations using the substitution method:
2a + b = -1
a - 3b = 17

Accepted Answer

The answer of Solve the following system of equations using...

Question 4

Solve the system of equation using the addition method: 3a - b = 3
2a = b

Accepted Answer

A)    a=0.b=−3a = 0 . b = - 3a=0.b=−3 
B)    a=2.b=3a = 2 . b = 3a=2.b=3 
C)    a=3.b=6a = 3 . b = 6a=3.b=6 
D)    a=35,b=65a = \frac { 3 } { 5 } , b = \frac { 6 } { 5 }a=53​,b=56​

Question 5

Solve the following system of equations graphically:
2x - y = -3
x - y = 1

Accepted Answer

The answer of Solve the following system of equations graphically:
2x...

Question 6

Solve the following system of equations using the addition method:
a + b = 1.5
a - b = 0.7

Accepted Answer

The answer of Solve the following system of equations using...

Question 7

Solve the system of equations using the addition method: 
2x + 3y = -26
5x - y = 3

Accepted Answer

A)    x=1.y=−2x = 1 . y = - 2x=1.y=−2 
B)    x=2913,u=−1∩613x = 2 \frac { 9 } { 13 } , u = - 1 \cap \frac { 6 } { 13 }x=2139​,u=−1∩136​ 
C)    x=25,y=−1x = \frac { 2 } { 5 } , y = - 1x=52​,y=−1 
D)    x=−1,y=−8x = - 1 , y = - 8x=−1,y=−8

Question 8

Solve the system of equations using the addition method: 
x - 3y = 7
-2x + 6y = -14

Accepted Answer

A)   dependent; many solutions
B)    (7,0) ( 7,0 ) (7,0)  
C)    (0,−212) \left( 0 , - 2 \frac { 1 } { 2 } \right) (0,−221​)  
D)   inconsistent; no solution

Question 9

Solve the system of equations using the addition method: x + 3y = 6
X + 3y = 4

Accepted Answer

A)    x=5,y=13x = 5 , y = \frac { 1 } { 3 }x=5,y=31​ 
B)    x=0,y=2x = 0 , y = 2x=0,y=2 
C)   inconsistent; no solution
D)   dependent; many solutions

Question 10

Solve the following system of equations using the addition method:
2x - y = 7
3x - y = 9

Accepted Answer

The answer of Solve the following system of equations using...

Question 11

Solve the system of equations using the addition method:
2x + 3y = -1
4x - 2y = -10

Accepted Answer

The answer of Solve the system of equations using the...

Question 12

Solve the following system of equations using the substitution method:
5g - 2h = 24
g = 2h

Accepted Answer

The answer of Solve the following system of equations using...

Question 13

Solve the system of equations using the addition method: 
2x + 5y = 19
3x + y = 9

Accepted Answer

A)    (4,−3) ( 4 , - 3 ) (4,−3)  
B)    (412,2) \left( 4 \frac { 1 } { 2 } , 2 \right) (421​,2)  
C)    (−2,15) ( - 2,15 ) (−2,15)  
D)    (2,3) ( 2,3 ) (2,3)

Question 14

Solve the system of equations using the addition method: 3x - 2y = 14
2x + 5y = 3

Accepted Answer

A)  x = 4, y = -1
B)  inconsistent; no solution
C)  x = 11.5, y = 4
D)  dependent; many solutions

Question 15

Solve the system of equations using the addition method: 3x - 5y = 5
2x + 3y = 16

Accepted Answer

A)  (5, 2) 
B)  (10, 5) 
C)  dependent; no solution
D)  inconsistent; no solution

Question 16

Solve the following system of equations using the addition method:
a + b = 2.5
a - b = 0.9

Accepted Answer

The answer of Solve the following system of equations using...

Question 17

Solve the system of equations using the addition method: x - 3y = 7
2x + 3y = 5

Accepted Answer

A)    (19,4) ( 19,4 ) (19,4)  
B)    (6,13) \left( 6 , \frac { 1 } { 3 } \right) (6,31​)  
C)    (4,−1) ( 4 , - 1 ) (4,−1)  
D)    (1,−2) ( 1 , - 2 ) (1,−2)

Question 18

Solve the following system of equations using the substitution method:
2j - k = 3
k = 2 + j

Accepted Answer

The answer of Solve the following system of equations using...

Question 19

Solve the following system of equations:
2x - y = -1
x + 2y = 7

Accepted Answer

The answer of Solve the following system of equations:
2x -...

Question 20

The solution to a system of equations can be found graphically by graphing each equation. The solution is the point of intersection of the equations. Find the solution to the system
Below:
 y=34x+2y=−12x+7\begin{array} { l } y = \frac { 3 } { 4 } x + 2 \y = - \frac { 1 } { 2 } x + 7\end{array}y=43​x+2y=−21​x+7​

Accepted Answer

A)  (5, 4) 
B)  (3, 5) 
C)  (4, 6) 
D)  (4, 5)

Exam 10: Systems of Linear Equations

Solve the following system of equations graphically: 2x - y = -3 x - y = 1

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Solve the system of equations using the addition method: 2x + 3y = -1 4x - 2y = -10

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Solve the system of equation using the addition method: 3a - b = 3 2a = b

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Solve the system of equations using the addition method: x - 3y = 7 2x + 3y = 5

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Solve the following system of equations: 2x - y = -1 x + 2y = 7

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Solve the system of equations using the addition method: a + 3b = 13 A - 3b = -11

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Solve the system of equations using the addition method: 2x + 3y = -26 5x - y = 3

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Solve the system of equations using the addition method: 3x - 5y = 5 2x + 3y = 16

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Solve the system of equations using the addition method: x + 3y = 6 X + 3y = 4

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Solve the following system of equations using the substitution method: 2j - k = 3 k = 2 + j

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Solve the system of equations using the addition method: x - 3y = 7 -2x + 6y = -14

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Solve the following system of equations using the substitution method: 5g - 2h = 24 g = 2h

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Solve the system of equations using the addition method: 2x + 5y = 19 3x + y = 9

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Solve the following system of equations using the addition method: 2x - y = 7 3x - y = 9

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Solve this system of equations using the addition method: y = x + 2 Y = x - 2

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Solve the following system of equations using the addition method: a + b = 2.5 a - b = 0.9

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Solve the following system of equations using the substitution method: 2a + b = -1 a - 3b = 17

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Solve the system of equations using the addition method: 3x - 2y = 14 2x + 5y = 3

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Solve the following system of equations using the addition method: a + b = 1.5 a - b = 0.7

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