EduSahara™ Assignment
Name : Solving Simultaneous Equations
Chapter : Simultaneous Linear Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
    • Solve
    • (
      12
      x
      +
      9
      y
      +
      9
      )
      =
      0
      (
      5
      x
      +
      4
      y
      27
      )
      =
      0
  • (i)
    (
    4
    ,
    3
    )
  • (ii)
    (
    3
    ,
    1
    )
  • (iii)
    (
    3
    ,
    3
    )
  • (iv)
    (
    6
    ,
    3
    )
  • (v)
    (
    3
    ,
    2
    )
Question 2
2.
    • Solve
    • (
      4
      x
      5
      y
      +
      4
      )
      =
      0
      (
      2
      x
      +
      4
      y
      +
      5
      )
      =
      0
  • (i)
    (
    (
    -43

    28
    )
    ,
    (
    -6

    11
    )
    )
  • (ii)
    (
    (
    -3

    2
    )
    ,
    (
    -6

    11
    )
    )
  • (iii)
    (
    (
    -41

    26
    )
    ,
    (
    -6

    13
    )
    )
  • (iv)
    (
    (
    -43

    28
    )
    ,
    (
    -6

    13
    )
    )
  • (v)
    (
    (
    -3

    2
    )
    ,
    (
    -8

    13
    )
    )
Question 3
3.
    • Solve
    • (
      x
      2
      y
      +
      4
      )
      =
      2
      (
      3
      x
      +
      5
      y
      +
      3
      )
      =
      2
  • (i)
    (
    -10
    ,
    5
    )
  • (ii)
    (
    -10
    ,
    6
    )
  • (iii)
    (
    -11
    ,
    7
    )
  • (iv)
    (
    -12
    ,
    7
    )
  • (v)
    (
    -11
    ,
    6
    )
Question 4
4.
    • Solve
    • (
      3
      x
      +
      5
      y
      )
      =
      (
      x
      +
      2
      y
      3
      )
      (
      x
      y
      1
      )
      =
      (
      4
      x
      +
      3
      y
      5
      )
  • (i)
    (
    (
    -24

    25
    )
    ,
    7

    25
    )
  • (ii)
    (
    (
    -8

    9
    )
    ,
    7

    23
    )
  • (iii)
    (
    (
    -8

    9
    )
    ,
    7

    25
    )
  • (iv)
    (
    (
    -22

    25
    )
    ,
    7

    23
    )
  • (v)
    (
    (
    -22

    25
    )
    ,
    1

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

       
       
      x
        +  
       
       
      9

       
       
      y
      =
       
       
      (
      11
      )
    •    
       
       
      9

       
       
      x
        +  
       
       
      10

       
       
      y
      =
       
       
      (
      26
      )
  • (i)
    (
    3

    4
    ,
    1

    1
    )
  • (ii)
    (
    1

    4
    ,
    -2
    )
  • (iii)
    (
    1

    4
    ,
    0
    )
  • (iv)
    (
    1

    6
    ,
    1

    1
    )
  • (v)
    (
    1

    4
    ,
    1

    1
    )
Question 6
6.
    • Solve the following pair of equations :
    •  
       
      7
      x
        +  
       
       
      5

       
       
      y
      =
       
       
      (
      3
      )
    •  
       
      4
      x
        +  
       
       
      7

       
       
      y
      =
       
       
      (
      10
      )
  • (i)
    (
    2
    ,
    (
    -1

    2
    )
    )
  • (ii)
    (
    4
    ,
    (
    -1

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

    4
    )
    )
  • (iv)
    (
    1
    ,
    1

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

    2
    )
    )
Question 7
7.
    • Solve the following pair of equations :
    •  
       
      4

       
       
      x
         
       
       
      y
      =
       
       
      7
    •    
       
       
      6

       
       
      x
        +  
       
       
      4
      y
      =
       
       
      (
      18
      )
  • (i)
    (
    1

    1
    ,
    -4
    )
  • (ii)
    (
    1

    1
    ,
    -5
    )
  • (iii)
    (
    2
    ,
    -3
    )
  • (iv)
    (
    4
    ,
    -3
    )
  • (v)
    (
    1

    1
    ,
    -3
    )
Question 8
8.
    • Solve the following pair of equations :
    •    
       
       
      11

       
       
      (
      x
      +
      y
      )
         
       
       
      14

       
       
      (
      x
      y
      )
      =
       
       
      (
      15
      )
    •    
       
       
      1

       
       
      (
      x
      +
      y
      )
        +  
       
       
      2

       
       
      (
      x
      y
      )
      =
       
       
      15
  • (i)
    (
    0
    ,
    (
    -1

    5
    )
    )
  • (ii)
    (
    1
    ,
    (
    -1

    5
    )
    )
  • (iii)
    (
    0
    ,
    (
    -1

    3
    )
    )
  • (iv)
    (
    0
    ,
    (
    -3

    5
    )
    )
  • (v)
    (
    2
    ,
    (
    -1

    5
    )
    )
Question 9
9.
    • Solve the following pair of equations :
    •  
       
      16

       
       
      (
      5
      x
      +
      y
      )
         
       
       
      6

       
       
      (
      5
      x
      y
      )
      =
       
       
      22
    •  
       
      6

       
       
      (
      5
      x
      +
      y
      )
         
       
       
      8

       
       
      (
      5
      x
      y
      )
      =
       
       
      60
  • (i)
    (
    (
    -11

    180
    )
    ,
    (
    -1

    4
    )
    )
  • (ii)
    (
    (
    -11

    182
    )
    ,
    (
    -7

    36
    )
    )
  • (iii)
    (
    (
    -11

    180
    )
    ,
    (
    -7

    36
    )
    )
  • (iv)
    (
    (
    -11

    180
    )
    ,
    (
    -7

    34
    )
    )
  • (v)
    (
    (
    -1

    20
    )
    ,
    (
    -7

    36
    )
    )
Question 10
10.
    • Solve the following pair of equations :
    •    
       
       
      5

       
       
      (
      x
      +
      7
      )
         
       
       
      7

       
       
      (
      y
      +
      2
      )
      =
       
       
      2
    •  
       
      1

       
       
      (
      x
      +
      7
      )
         
       
       
      8

       
       
      (
      y
      +
      2
      )
      =
       
       
      9
  • (i)
    (
    2
    ,
    -3
    )
  • (ii)
    (
    -6
    ,
    -1
    )
  • (iii)
    (
    -6
    ,
    -3
    )
  • (iv)
    (
    1
    ,
    -3
    )
Question 11
11.
    • Solve the following pair of equations :
    • (
      x
      11
      y
      )
      =
      (
      26
      x
      y
      )
    • (
      7
      x
      +
      y
      )
      =
      52
      x
      y
  • (i)
    (
    1

    3
    ,
    1

    7
    )
  • (ii)
    (
    1

    3
    ,
    (
    -1

    7
    )
    )
  • (iii)
    (
    1

    3
    ,
    1

    5
    )
  • (iv)
    (
    1

    5
    ,
    1

    7
    )
  • (v)
    (
    1
    ,
    1

    7
    )
Question 12
12.
    • Solve the following pair of equations :
    • (
      14
      x
      14
      y
      )

      x
      y
      =
      28
    • (
      x
      4
      y
      )

      x
      y
      =
      29
  • (i)
    (
    (
    -1

    9
    )
    ,
    1

    7
    )
  • (ii)
    (
    (
    -1

    9
    )
    ,
    1

    5
    )
  • (iii)
    (
    (
    -1

    3
    )
    ,
    1

    7
    )
  • (iv)
    (
    (
    -1

    7
    )
    ,
    1

    7
    )
  • (v)
    (
    (
    -1

    9
    )
    ,
    (
    -1

    7
    )
    )
    Assignment Key

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