EduSahara™ Assignment
Name : Solving Simultaneous Equations
Chapter : Simultaneous Linear Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
    • Solve
    • (
      14
      x
      +
      126
      )
      =
      0
      (
      x
      +
      11
      y
      64
      )
      =
      0
  • (i)
    (
    10
    ,
    5
    )
  • (ii)
    (
    9
    ,
    5
    )
  • (iii)
    (
    9
    ,
    4
    )
  • (iv)
    (
    9
    ,
    2
    )
  • (v)
    (
    11
    ,
    5
    )
Question 2
2.
    • Solve
    • (
      4
      x
      y
      )
      =
      0
      (
      x
      y
      +
      5
      )
      =
      0
  • (i)
    (
    4
    ,
    3
    )
  • (ii)
    (
    1
    ,
    4
    )
  • (iii)
    (
    2
    ,
    3
    )
  • (iv)
    (
    2
    ,
    4
    )
  • (v)
    (
    4
    ,
    2
    )
Question 3
3.
    • Solve
    • (
      4
      x
      +
      y
      3
      )
      =
      3
      (
      x
      +
      5
      y
      5
      )
      =
      (
      4
      )
  • (i)
    (
    (
    -29

    19
    )
    ,
    (
    -2

    19
    )
    )
  • (ii)
    (
    (
    -27

    19
    )
    ,
    (
    -2

    17
    )
    )
  • (iii)
    (
    (
    -27

    19
    )
    ,
    (
    -4

    19
    )
    )
  • (iv)
    (
    (
    -31

    21
    )
    ,
    (
    -2

    19
    )
    )
  • (v)
    (
    (
    -31

    21
    )
    ,
    (
    -2

    17
    )
    )
Question 4
4.
    • Solve
    • (
      4
      x
      4
      y
      +
      5
      )
      =
      (
      3
      x
      +
      2
      y
      3
      )
      (
      2
      x
      +
      4
      y
      1
      )
      =
      (
      4
      x
      +
      3
      y
      +
      4
      )
  • (i)
    (
    30

    7
    ,
    (
    -19

    5
    )
    )
  • (ii)
    (
    24

    5
    ,
    (
    -21

    5
    )
    )
  • (iii)
    (
    30

    7
    ,
    (
    -13

    3
    )
    )
  • (iv)
    (
    22

    5
    ,
    (
    -19

    5
    )
    )
  • (v)
    (
    24

    5
    ,
    (
    -13

    3
    )
    )
Question 5
5.
    • Solve the following pair of equations :
    •  
       
      7

       
       
      x
         
       
       
      16

       
       
      y
      =
       
       
      8
    •  
       
      9

       
       
      x
        +  
       
       
      1

       
       
      y
      =
       
       
      (
      76
      )
  • (i)
    (
    (
    -3

    8
    )
    ,
    (
    -1

    4
    )
    )
  • (ii)
    (
    (
    -1

    8
    )
    ,
    (
    -1

    4
    )
    )
  • (iii)
    (
    (
    -1

    8
    )
    ,
    (
    -1

    6
    )
    )
  • (iv)
    (
    (
    -1

    8
    )
    ,
    1

    4
    )
  • (v)
    (
    (
    -1

    6
    )
    ,
    (
    -1

    4
    )
    )
Question 6
6.
    • Solve the following pair of equations :
    •    
       
       
      6
      x
         
       
       
      2

       
       
      y
      =
       
       
      36
    •    
       
       
      10
      x
         
       
       
      11

       
       
      y
      =
       
       
      37
  • (i)
    (
    -7
    ,
    (
    -1

    3
    )
    )
  • (ii)
    (
    -4
    ,
    1

    3
    )
  • (iii)
    (
    -7
    ,
    1

    3
    )
  • (iv)
    (
    -7
    ,
    1
    )
  • (v)
    (
    -6
    ,
    1

    3
    )
Question 7
7.
    • Solve the following pair of equations :
    •    
       
       
      3

       
       
      x
         
       
       
      6
      y
      =
       
       
      27
    •    
       
       
      4

       
       
      x
        +  
       
       
      3
      y
      =
       
       
      (
      19
      )
  • (i)
    (
    4
    ,
    -5
    )
  • (ii)
    (
    1

    1
    ,
    -7
    )
  • (iii)
    (
    2
    ,
    -5
    )
  • (iv)
    (
    1

    1
    ,
    -5
    )
  • (v)
    (
    1

    1
    ,
    -6
    )
Question 8
8.
    • Solve the following pair of equations :
    •  
       
      2

       
       
      (
      x
      +
      y
      )
        +  
       
       
      6

       
       
      (
      x
      y
      )
      =
       
       
      (
      2
      )
    •    
       
       
      1

       
       
      (
      x
      +
      y
      )
        +  
       
       
      8

       
       
      (
      x
      y
      )
      =
       
       
      (
      10
      )
  • (i)
    (
    (
    -1

    4
    )
    ,
    3

    4
    )
  • (ii)
    (
    (
    -1

    6
    )
    ,
    3

    4
    )
  • (iii)
    (
    1

    4
    ,
    3

    4
    )
  • (iv)
    (
    (
    -1

    4
    )
    ,
    3

    2
    )
  • (v)
    (
    (
    -1

    4
    )
    ,
    1

    4
    )
Question 9
9.
    • Solve the following pair of equations :
    •    
       
       
      10

       
       
      (
      5
      x
      +
      y
      )
        +  
       
       
      4

       
       
      (
      5
      x
      y
      )
      =
       
       
      (
      14
      )
    •    
       
       
      12

       
       
      (
      5
      x
      +
      y
      )
        +  
       
       
      5

       
       
      (
      5
      x
      y
      )
      =
       
       
      (
      16
      )
  • (i)
    (
    3

    40
    ,
    1

    24
    )
  • (ii)
    (
    7

    122
    ,
    1

    24
    )
  • (iii)
    (
    7

    120
    ,
    (
    -1

    24
    )
    )
  • (iv)
    (
    7

    120
    ,
    1

    22
    )
  • (v)
    (
    7

    120
    ,
    1

    24
    )
Question 10
10.
    • Solve the following pair of equations :
    •  
       
      8

       
       
      (
      x
      3
      )
         
       
       
      3

       
       
      (
      y
      +
      5
      )
      =
       
       
      54
    •  
       
      3

       
       
      (
      x
      3
      )
        +  
       
       
      5

       
       
      (
      y
      +
      5
      )
      =
       
       
      8
  • (i)
    (
    19

    6
    ,
    (
    -11

    2
    )
    )
  • (ii)
    (
    19

    6
    ,
    -1
    )
  • (iii)
    (
    19

    6
    ,
    -2
    )
  • (iv)
    (
    2
    ,
    (
    -11

    2
    )
    )
  • (v)
    (
    1
    ,
    (
    -11

    2
    )
    )
Question 11
11.
    • Solve the following pair of equations :
    • (
      4
      x
      8
      y
      )
      =
      (
      20
      x
      y
      )
    • (
      6
      x
      2
      y
      )
      =
      (
      12
      x
      y
      )
  • (i)
    (
    1

    3
    ,
    -2
    )
  • (ii)
    (
    1

    5
    ,
    1

    1
    )
  • (iii)
    (
    1

    3
    ,
    1

    1
    )
  • (iv)
    (
    1
    ,
    1

    1
    )
  • (v)
    (
    1

    3
    ,
    0
    )
Question 12
12.
    • Solve the following pair of equations :
    • (
      9
      x
      +
      2
      y
      )

      x
      y
      =
      5
    • (
      11
      x
      +
      8
      y
      )

      x
      y
      =
      -5
  • (i)
    (
    (
    -1

    2
    )
    ,
    -2
    )
  • (ii)
    (
    (
    -1

    2
    )
    ,
    -3
    )
  • (iii)
    (
    1
    ,
    1

    -1
    )
  • (iv)
    (
    (
    -1

    2
    )
    ,
    1

    -1
    )
  • (v)
    (
    (
    -3

    2
    )
    ,
    1

    -1
    )
    Assignment Key

  •  1) (ii)
  •  2) (ii)
  •  3) (i)
  •  4) (iv)
  •  5) (ii)
  •  6) (iii)
  •  7) (iv)
  •  8) (i)
  •  9) (v)
  •  10) (i)
  •  11) (iii)
  •  12) (iv)