ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade VIII - Simultaneous Linear Equations
Question 1
1.
    • Solve
    • (
      x
      −
      3
      y
      −
      5
      		)
      =
      0
      (
      3
      x
      −
      3
      y
      		)
      =
      0
  • (
    (
    -3
    2
    		 )
    ,
    (
    -7
    2
    		 )
    )
  • (
    (
    -3
    2
    		 )
    ,
    -3
    )
  • (
    (
    -9
    4
    		 )
    ,
    (
    -5
    2
    		 )
    )
  • (
    (
    -9
    4
    		 )
    ,
    -3
    )
  • (
    (
    -5
    2
    		 )
    ,
    (
    -5
    2
    		 )
    )
Question 2
2.
    • Solve the following pair of equations :
    •  
       
      15
       
       
      x
      		  +  
       
       
      2
      y
      =
       
       
      91
    •   −  
       
       
      1
       
       
      x
      		  +  
       
       
      6
      y
      =
       
       
      (
      −
      49
      		)
  • (
    3
    7
    ,
    -7
    )
  • (
    1
    9
    ,
    -7
    )
  • (
    1
    7
    ,
    -9
    )
  • (
    1
    7
    ,
    -7
    )
  • (
    1
    7
    ,
    -8
    )
Question 3
3.
    • Solve
    • (
      4
      x
      −
      2
      y
      −
      2
      		)
      =
      (
      −
      3
      		)
      (
      −
      x
      +
      2
      y
      −
      3
      		)
      =
      2
  • (
    6
    5
    ,
    19
    6
    )
  • (
    2
    ,
    13
    4
    )
  • (
    2
    ,
    17
    6
    )
  • (
    6
    5
    ,
    13
    4
    )
  • (
    4
    3
    ,
    19
    6
    )
Question 4
4.
    • Solve the following pair of equations :
    •   −  
       
       
      2
      x
      		  −  
       
       
      14
       
       
      y
      =
       
       
      46
    •  
       
      7
      x
      		  −  
       
       
      17
       
       
      y
      =
       
       
      (
      −
      29
      		)
  • (
    -9
    ,
    (
    -1
    4
    		 )
    )
  • (
    -9
    ,
    1
    2
    )
  • (
    -8
    ,
    (
    -1
    2
    		 )
    )
  • (
    -9
    ,
    (
    -1
    2
    		 )
    )
  • (
    -7
    ,
    (
    -1
    2
    		 )
    )
Question 5
5.
    • Solve the following pair of equations :
    •   −  
       
       
      6
       
       
      (
      x
      −
      9
      		)
      		  −  
       
       
      5
       
       
      (
      y
      −
      3
      		)
      =
       
       
      (
      −
      49
      		)
    •   −  
       
       
      13
       
       
      (
      x
      −
      9
      		)
      		  +  
       
       
      3
       
       
      (
      y
      −
      3
      		)
      =
       
       
      (
      −
      37
      		)
  • (
    37
    4
    ,
    16
    5
    )
  • (
    37
    4
    ,
    -1
    )
  • (
    1
    ,
    16
    5
    )
  • (
    3
    ,
    16
    5
    )
  • (
    37
    4
    ,
    -2
    )
Question 6
6.
A motor boat can travel at a speed of 18.70 m/sec downstream and 4.04 m/sec upstream. How much time will it take to cross a distance of 323.59 m in still water?
  • 30.46 sec
  • 26.46 sec
  • 29.46 sec
  • 27.46 sec
  • 28.46 sec
Question 7
7.
    • Solve the following pair of equations :
    • (
      −
      3
      x
      +
      9
      y
      		)
      =
      (
      −
      66
      x
      y
      		)
    • (
      x
      −
      6
      y
      		)
      =
      46
      x
      y
  • (
    (
    -1
    8
    		 )
    ,
    (
    -1
    2
    		 )
    )
  • (
    (
    -1
    8
    		 )
    ,
    (
    -1
    4
    		 )
    )
  • (
    (
    -3
    8
    		 )
    ,
    (
    -1
    2
    		 )
    )
  • (
    (
    -1
    6
    		 )
    ,
    (
    -1
    2
    		 )
    )
  • (
    (
    -1
    8
    		 )
    ,
    1
    2
    )
Question 8
8.
    • Solve the following pair of equations :
    •   −  
       
       
      6
       
       
      x
      		  +  
       
       
      4
       
       
      y
      =
       
       
      54
    •   −  
       
       
      15
       
       
      x
      		  +  
       
       
      3
       
       
      y
      =
       
       
      72
  • (
    -1
    ,
    1
    9
    )
  • (
    (
    -1
    3
    		 )
    ,
    1
    9
    )
  • (
    (
    -1
    3
    		 )
    ,
    (
    -1
    9
    		 )
    )
  • (
    (
    -1
    3
    		 )
    ,
    1
    7
    )
Question 9
9.
    • Solve the following pair of equations :
    •   −  
       
       
      12
       
       
      (
      3
      x
      +
      y
      		)
      		  +  
       
       
      5
       
       
      (
      3
      x
      −
      y
      		)
      =
       
       
      (
      −
      20
      		)
    •   −  
       
       
      6
       
       
      (
      3
      x
      +
      y
      		)
      		  −  
       
       
      1
       
       
      (
      3
      x
      −
      y
      		)
      =
       
       
      (
      −
      38
      		)
  • (
    13
    242
    ,
    3
    80
    )
  • (
    13
    240
    ,
    1
    80
    )
  • (
    1
    16
    ,
    3
    80
    )
  • (
    13
    240
    ,
    3
    80
    )
  • (
    13
    240
    ,
    1
    26
    )
Question 10
10.
A motor boat can travel at a speed of 20.58 m/sec downstream and 12.06 m/sec upstream. How much distance can the boat travel in 29.59 sec in still water?
  • 483.91 m
  • 480.91 m
  • 482.91 m
  • 484.91 m
  • 481.91 m