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Solved Examples
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ccc A mechanical plant hires 915 labors on a daily wage scheme paying $8385. Men are paid $11 and women are paid $7. Find the number of men and women hired. ccc View Solution
ccc A circus company sold 70 tickets on a particular day. The entry fee is $7 for an adult and $3 for a child. The total amount collected was $278. How many adults and children went to the circus on that day?
 ccc
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ccc An Opera house collected $7,250 by selling the tickets. The people sitting in the row A are charged $15 and the people sitting in row B are charged $11. The total number of tickets sold is 550. Find the number of people sitting in row A and row B.
 ccc
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ccc Which of the following ordered pairs satisfies the linear system?
x - y = 8     
4x + 5y = -13
 ccc
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ccc Which of the following ordered pairs satisfies the linear system?
4x - y = 0     
x - 2y = 0     
 ccc
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ccc A shopkeeper sold 36 softballs and basketballs last week for a total sum of $288. The price of a softball is $7 and that of a basketball is $19. How many softballs and basketballs did the shopkeeper sell?
 ccc
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ccc Jason purchased 14 pens and markers for $62. The price of a marker is $7 and the price of a pen is $4. How many pens and markers did Jason buy? ccc View Solution
ccc The price of each marble is $5 and that of each dice is $3. A total of 50 marbles and dice were purchased for $214. Find the number of marbles and the number of dice purchased.
 ccc
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ccc Which of the following linear systems has the solution (3, 0)?
 ccc
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ccc Identify the equation wherein you would isolate a variable easily so that substitution method can be used to solve the linear system.
10x + 13y = 1   [Equation 1]
x - 9y = - 8   [Equation 2] ccc
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ccc Choose the equation wherein you would isolate a variable easily so that substitution method can be used to solve the linear system.
- 3x + y = -6   [Equation 1]
2x + 2y = 22    [Equation 2] ccc
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ccc Which of the following ordered pairs satisfies the linear system?
5x - 5y = -5
- x + 5y = -7
 ccc
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eee The price of a book is $47 and a toy costs $12. Lindsay bought 38 toys and books and paid $1,191 for them. How many books and toys did she buy?
 eee
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eee Which of the following ordered pairs satisfies the linear system?
- x + y = 5      
6x - 5y = -18   eee
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eee Find the solution of the system of linear equations.
5x + 3y = 16  
x - 3y = 2 eee
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eee Which of the following ordered pairs satisfies the linear system?
4x + 3y = 30    
- x + 4y = 21      eee
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eee Choose the equation wherein you would isolate a variable easily so that substitution method can be used to solve the linear system.
- x + y = 4      [Equation 1]
5x - 10y = 0   [Equation 2] eee
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eee Which of the following ordered pairs satisfies the linear system?a = b - 4    
2a + b = 28
 eee
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eee Which of the following ordered pairs satisfies the linear system?
- p + q = 10      
4p + 19q = 98   
 eee
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eee Solve the linear system.
w + z = 6
5w = 20 eee
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eee Which of the following ordered pairs satisfies the linear system? s - t = 0      
4s - 17t = -65
 eee
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eee Identify the equation wherein you would isolate a variable easily so that substitution method can be used to solve the linear system.
b - a4 = 7        [Equation 1]
20a - 24b = 0   [Equation 2]
 eee
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eee Which of the following linear systems has the solution (19, 10)?
 eee
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eee Which of the following linear systems has the solution (0, 4)?
 eee
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eee Which of the following ordered pairs satisfies the linear system?
- 15x + 2y = -82
      x - y = 2  eee
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eee Irena earns $6 per hour doing a part time job while Henry earns $11. How many hours each of them should work to earn $90, if they work together for 10 hours?
 eee
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eee Which of the following ordered pairs satisfies the linear system?
x - y = 8     
3x + 4y = -4
 eee
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eee Which of the following ordered pairs satisfies the linear system?
5x - y = 0     
x - 4y = 0     
 eee
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eee Which of the following ordered pairs satisfies the linear system?
4x - 4y = 0
- x + 4y = -27
 eee
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eee Which of the following ordered pairs satisfies the linear system?
- x + y = 3      
6x - 5y = 0   eee
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eee Find the solution of the system of linear equations.
23x + 8y = 94  
x - 4y = 3 eee
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eee The price of a book is $47 and a toy costs $12. Irena bought 38 toys and books and paid $1,191 for them. How many books and toys did she buy?
 eee
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eee Arthur purchased 24 pens and markers for $183. The price of a marker is $10 and the price of a pen is $7. How many pens and markers did Arthur buy? eee View Solution
eee A shopkeeper sold 48 softballs and basketballs last week for a total sum of $456. The price of a softball is $8 and that of a basketball is $32. How many softballs and basketballs did the shopkeeper sell?
 eee
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eee Which of the following ordered pairs satisfies the linear system?
2x - y = 0     
x - 3y = 0     
 eee
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eee Which of the following ordered pairs satisfies the linear system?a = b - 2    
5a + b = 38
 eee
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eee Which of the following ordered pairs satisfies the linear system?
x - y = 6     
2x + 3y = -8
 eee
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eee Which of the following linear systems has the solution (5, 0)?
 eee
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eee Identify the equation wherein you would isolate a variable easily so that substitution method can be used to solve the linear system.
6x + 9y = 1   [Equation 1]
x - 5y = - 4   [Equation 2] eee
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eee The price of each marble is $7 and that of each dice is $5. A total of 44 marbles and dice were purchased for $246. Find the number of marbles and the number of dice purchased.
 eee
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eee Choose the equation wherein you would isolate a variable easily so that substitution method can be used to solve the linear system.
- 2x + y = -1   [Equation 1]
3x + 5y = 32    [Equation 2] eee
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eee Which of the following ordered pairs satisfies the linear system?
4x - 4y = -12
- x + 4y = -15
 eee
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eee Which of the following ordered pairs satisfies the linear system?
- x + y = 6      
5x - 4y = -16   eee
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eee Find the solution of the system of linear equations.
11x + 4y = 46  
x - 2y = 3 eee
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eee Which of the following ordered pairs satisfies the linear system?
4x + 3y = 23    
- x + 5y = 23      eee
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eee Choose the equation wherein you would isolate a variable easily so that substitution method can be used to solve the linear system.
- x + y = 4      [Equation 1]
7x - 14y = -21   [Equation 2] eee
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eee Which of the following ordered pairs satisfies the linear system?
- p + q = 8      
4p + 11q = 43   
 eee
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eee Solve the linear system.
w + z = 4
2w = 6 eee
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eee Which of the following ordered pairs satisfies the linear system? s - t = 0      
4s - 9t = -20
 eee
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eee Identify the equation wherein you would isolate a variable easily so that substitution method can be used to solve the linear system.
b - a3 = 6        [Equation 1]
12a - 15b = 0   [Equation 2]
 eee
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eee Which of the following linear systems has the solution (23, 11)?
 eee
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eee Which of the following ordered pairs satisfies the linear system?
- 15x + 2y = -95
      x - y = 2  eee
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eee Which of the following linear systems has the solution (0, 5)?
 eee
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eee Tanya earns $7 per hour doing a part time job while Jason earns $13. How many hours each of them should work to earn $119, if they work together for 11 hours?
 eee
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eee Stephanie purchased a total of 16 books and toys for the Eureka play school. Each book costs $23 and each toy costs $6. How many books and toys did she buy for $283? eee View Solution