EduSahara™ Assignment
Name : Solving Simultaneous Equations
Chapter : Simultaneous Linear Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question 1
1.
    • Solve
    • (
      7
      x
      +
      9
      y
      +
      25
      )
      =
      0
      (
      6
      x
      +
      7
      y
      +
      15
      )
      =
      0
  • (i)
    (
    8
    ,
    -12
    )
  • (ii)
    (
    9
    ,
    -9
    )
  • (iii)
    (
    8
    ,
    -9
    )
  • (iv)
    (
    10
    ,
    -9
    )
  • (v)
    (
    8
    ,
    -10
    )
Question 2
2.
    • Solve
    • (
      5
      x
      y
      +
      4
      )
      =
      0
      (
      5
      x
      3
      y
      4
      )
      =
      0
  • (i)
    (
    (
    -4

    5
    )
    ,
    0
    )
  • (ii)
    (
    (
    -2

    5
    )
    ,
    -2
    )
  • (iii)
    (
    (
    -4

    7
    )
    ,
    -1
    )
  • (iv)
    (
    (
    -4

    7
    )
    ,
    0
    )
  • (v)
    (
    (
    -2

    5
    )
    ,
    -1
    )
Question 3
3.
    • Solve
    • (
      3
      x
      +
      4
      y
      +
      5
      )
      =
      3
      (
      x
      +
      5
      y
      +
      5
      )
      =
      4
  • (i)
    (
    6

    13
    ,
    (
    -1

    9
    )
    )
  • (ii)
    (
    8

    11
    ,
    (
    -3

    11
    )
    )
  • (iii)
    (
    6

    11
    ,
    (
    -1

    11
    )
    )
  • (iv)
    (
    8

    11
    ,
    (
    -1

    9
    )
    )
  • (v)
    (
    6

    13
    ,
    (
    -1

    11
    )
    )
Question 4
4.
    • Solve
    • (
      4
      x
      3
      y
      4
      )
      =
      (
      2
      x
      +
      y
      +
      2
      )
      (
      3
      x
      +
      2
      y
      2
      )
      =
      (
      5
      x
      +
      5
      y
      1
      )
  • (i)
    (
    9

    5
    ,
    1
    )
  • (ii)
    (
    9

    7
    ,
    3

    5
    )
  • (iii)
    (
    7

    5
    ,
    3

    5
    )
  • (iv)
    (
    9

    7
    ,
    1
    )
  • (v)
    (
    9

    5
    ,
    1

    5
    )
Question 5
5.
    • Solve the following pair of equations :
    •  
       
      6

       
       
      x
         
       
       
      9

       
       
      y
      =
       
       
      51
    •  
       
      14

       
       
      x
         
       
       
      6

       
       
      y
      =
       
       
      14
  • (i)
    (
    (
    -3

    2
    )
    ,
    (
    -1

    7
    )
    )
  • (ii)
    (
    (
    -1

    2
    )
    ,
    (
    -1

    7
    )
    )
  • (iii)
    (
    1
    ,
    (
    -1

    7
    )
    )
  • (iv)
    (
    (
    -1

    2
    )
    ,
    (
    -1

    9
    )
    )
  • (v)
    (
    (
    -1

    2
    )
    ,
    1

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

       
       
      y
      =
       
       
      5
    •    
       
       
      11
      x
         
       
       
      2

       
       
      y
      =
       
       
      3
  • (i)
    (
    -1
    ,
    1

    4
    )
  • (ii)
    (
    1
    ,
    1

    4
    )
  • (iii)
    (
    -1
    ,
    (
    -1

    4
    )
    )
  • (iv)
    (
    0
    ,
    1

    4
    )
  • (v)
    (
    -1
    ,
    1

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

       
       
      x
         
       
       
      y
      =
       
       
      8
    •    
       
       
      10

       
       
      x
         
       
       
      6
      y
      =
       
       
      32
  • (i)
    (
    (
    -1

    6
    )
    ,
    8
    )
  • (ii)
    (
    (
    -1

    8
    )
    ,
    8
    )
  • (iii)
    (
    (
    -1

    8
    )
    ,
    5
    )
  • (iv)
    (
    (
    -1

    8
    )
    ,
    7
    )
  • (v)
    (
    (
    -3

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

       
       
      (
      x
      +
      y
      )
         
       
       
      7

       
       
      (
      x
      y
      )
      =
       
       
      50
    •  
       
      14

       
       
      (
      x
      +
      y
      )
         
       
       
      5

       
       
      (
      x
      y
      )
      =
       
       
      12
  • (i)
    (
    (
    -5

    16
    )
    ,
    (
    -5

    16
    )
    )
  • (ii)
    (
    (
    -3

    16
    )
    ,
    (
    -3

    16
    )
    )
  • (iii)
    (
    (
    -5

    16
    )
    ,
    (
    -3

    16
    )
    )
  • (iv)
    (
    (
    -5

    18
    )
    ,
    (
    -3

    16
    )
    )
  • (v)
    (
    (
    -5

    16
    )
    ,
    (
    -3

    14
    )
    )
Question 9
9.
    • Solve the following pair of equations :
    •    
       
       
      4

       
       
      (
      2
      x
      +
      y
      )
         
       
       
      7

       
       
      (
      2
      x
      y
      )
      =
       
       
      (
      52
      )
    •    
       
       
      13

       
       
      (
      2
      x
      +
      y
      )
        +  
       
       
      1

       
       
      (
      2
      x
      y
      )
      =
       
       
      21
  • (i)
    (
    (
    -7

    34
    )
    ,
    (
    -9

    16
    )
    )
  • (ii)
    (
    (
    -7

    32
    )
    ,
    (
    -11

    16
    )
    )
  • (iii)
    (
    (
    -5

    32
    )
    ,
    (
    -9

    16
    )
    )
  • (iv)
    (
    (
    -7

    32
    )
    ,
    (
    -9

    16
    )
    )
  • (v)
    (
    (
    -7

    32
    )
    ,
    (
    -9

    14
    )
    )
Question 10
10.
    • Solve the following pair of equations :
    •    
       
       
      7

       
       
      (
      x
      4
      )
         
       
       
      10

       
       
      (
      y
      +
      7
      )
      =
       
       
      83
    •    
       
       
      4

       
       
      (
      x
      4
      )
         
       
       
      4

       
       
      (
      y
      +
      7
      )
      =
       
       
      44
  • (i)
    (
    35

    9
    ,
    (
    -15

    2
    )
    )
  • (ii)
    (
    35

    9
    ,
    -2
    )
  • (iii)
    (
    1
    ,
    (
    -15

    2
    )
    )
  • (iv)
    (
    3
    ,
    (
    -15

    2
    )
    )
  • (v)
    (
    35

    9
    ,
    -1
    )
Question 11
11.
    • Solve the following pair of equations :
    • (
      10
      x
      3
      y
      )
      =
      43
      x
      y
    • (
      7
      x
      11
      y
      )
      =
      (
      50
      x
      y
      )
  • (i)
    (
    1

    9
    ,
    1

    5
    )
  • (ii)
    (
    1

    3
    ,
    1

    7
    )
  • (iii)
    (
    1

    9
    ,
    (
    -1

    7
    )
    )
  • (iv)
    (
    1

    9
    ,
    1

    7
    )
  • (v)
    (
    1

    11
    ,
    1

    7
    )
Question 12
12.
    • Solve the following pair of equations :
    • (
      10
      x
      +
      7
      y
      )

      x
      y
      =
      14
    • (
      8
      x
      2
      y
      )

      x
      y
      =
      72
  • (i)
    (
    (
    -1

    8
    )
    ,
    1

    7
    )
  • (ii)
    (
    (
    -1

    8
    )
    ,
    (
    -1

    9
    )
    )
  • (iii)
    (
    (
    -3

    8
    )
    ,
    (
    -1

    7
    )
    )
  • (iv)
    (
    (
    -1

    8
    )
    ,
    (
    -1

    7
    )
    )
  • (v)
    (
    (
    -1

    6
    )
    ,
    (
    -1

    7
    )
    )
    Assignment Key

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