EduSahara™ Assignment
Name : Two Variable Problems
Chapter : Linear Equations and Simultaneous Linear Equations
Grade : ICSE Grade IX
License : Non Commercial Use
Question 1
1.
    • Solve
    • (
      6
      x
      +
      6
      y
      +
      48
      )
      =
      0
      (
      9
      x
      +
      2
      y
      50
      )
      =
      0
  • (i)
    (
    7
    ,
    -2
    )
  • (ii)
    (
    6
    ,
    -4
    )
  • (iii)
    (
    6
    ,
    -2
    )
  • (iv)
    (
    9
    ,
    -2
    )
  • (v)
    (
    6
    ,
    -3
    )
Question 2
2.
    • Solve
    • (
      3
      x
      +
      y
      1
      )
      =
      0
      (
      2
      x
      y
      +
      1
      )
      =
      0
  • (i)
    (
    0
    ,
    1
    )
  • (ii)
    (
    2
    ,
    -1
    )
  • (iii)
    (
    1
    ,
    1
    )
  • (iv)
    (
    2
    ,
    0
    )
  • (v)
    (
    1
    ,
    0
    )
Question 3
3.
    • Solve
    • (
      x
      +
      4
      y
      +
      2
      )
      =
      (
      4
      )
      (
      5
      x
      +
      3
      y
      +
      1
      )
      =
      0
  • (i)
    (
    (
    -12

    17
    )
    ,
    (
    -9

    5
    )
    )
  • (ii)
    (
    (
    -12

    17
    )
    ,
    (
    -31

    17
    )
    )
  • (iii)
    (
    (
    -14

    19
    )
    ,
    (
    -29

    17
    )
    )
  • (iv)
    (
    (
    -14

    19
    )
    ,
    (
    -9

    5
    )
    )
  • (v)
    (
    (
    -14

    17
    )
    ,
    (
    -29

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

    17
    )
    ,
    (
    -5

    3
    )
    )
  • (ii)
    (
    (
    -2

    15
    )
    ,
    (
    -7

    5
    )
    )
  • (iii)
    (
    (
    -2

    17
    )
    ,
    (
    -7

    5
    )
    )
  • (iv)
    (
    0
    ,
    (
    -9

    5
    )
    )
  • (v)
    (
    0
    ,
    (
    -5

    3
    )
    )
Question 5
5.
    • Solve
    • (
      4
      x
      3
      y
      5
      )
      =
      0
      (
      3
      x
      5
      y
      +
      11
      )
      =
      0
  • (i)
    (
    4
    ,
    1
    )
  • (ii)
    (
    3
    ,
    1
    )
  • (iii)
    (
    2
    ,
    0
    )
  • (iv)
    (
    2
    ,
    -2
    )
  • (v)
    (
    2
    ,
    1
    )
Question 6
6.
    • Solve
    • (
      3
      x
      2
      y
      +
      1
      )
      =
      0
      (
      4
      x
      y
      1
      )
      =
      0
  • (i)
    (
    (
    -3

    13
    )
    ,
    1

    9
    )
  • (ii)
    (
    (
    -3

    11
    )
    ,
    1

    11
    )
  • (iii)
    (
    (
    -3

    13
    )
    ,
    1

    11
    )
  • (iv)
    (
    (
    -1

    11
    )
    ,
    1

    9
    )
  • (v)
    (
    (
    -1

    11
    )
    ,
    (
    -1

    11
    )
    )
Question 7
7.
    • Solve
    • (
      2
      x
      y
      +
      1
      )
      =
      1
      (
      5
      x
      y
      +
      2
      )
      =
      (
      3
      )
  • (i)
    (
    (
    -3

    7
    )
    ,
    8

    5
    )
  • (ii)
    (
    (
    -5

    9
    )
    ,
    8

    5
    )
  • (iii)
    (
    (
    -5

    7
    )
    ,
    10

    7
    )
  • (iv)
    (
    (
    -3

    7
    )
    ,
    8

    7
    )
  • (v)
    (
    (
    -5

    9
    )
    ,
    10

    7
    )
Question 8
8.
    • Solve
    • (
      5
      x
      5
      y
      5
      )
      =
      (
      5
      x
      +
      4
      y
      4
      )
      (
      3
      x
      y
      5
      )
      =
      (
      4
      x
      +
      y
      +
      2
      )
  • (i)
    (
    61

    85
    ,
    (
    -77

    83
    )
    )
  • (ii)
    (
    63

    83
    ,
    (
    -77

    81
    )
    )
  • (iii)
    (
    63

    83
    ,
    (
    -79

    83
    )
    )
  • (iv)
    (
    61

    85
    ,
    (
    -77

    81
    )
    )
  • (v)
    (
    61

    83
    ,
    (
    -77

    83
    )
    )
Question 9
9.
    • Solve
    • (
      13
      x
      4
      y
      +
      41
      )
      =
      0
      (
      15
      x
      3
      y
      +
      36
      )
      =
      0
  • (i)
    (
    2
    ,
    7
    )
  • (ii)
    (
    1
    ,
    7
    )
  • (iii)
    (
    1
    ,
    4
    )
  • (iv)
    (
    4
    ,
    7
    )
  • (v)
    (
    1
    ,
    6
    )
Question 10
10.
    • Solve
    • (
      4
      x
      3
      y
      4
      )
      =
      0
      (
      4
      x
      +
      2
      y
      4
      )
      =
      0
  • (i)
    (
    -1
    ,
    0
    )
  • (ii)
    (
    2
    ,
    -3
    )
  • (iii)
    (
    0
    ,
    -1
    )
  • (iv)
    (
    2
    ,
    -1
    )
  • (v)
    (
    0
    ,
    0
    )
Question 11
11.
    • Solve
    • (
      x
      3
      y
      +
      1
      )
      =
      (
      5
      )
      (
      5
      x
      5
      y
      +
      1
      )
      =
      3
  • (i)
    (
    (
    -16

    5
    )
    ,
    14

    5
    )
  • (ii)
    (
    (
    -24

    7
    )
    ,
    16

    5
    )
  • (iii)
    (
    (
    -24

    7
    )
    ,
    10

    3
    )
  • (iv)
    (
    (
    -18

    5
    )
    ,
    16

    5
    )
  • (v)
    (
    (
    -16

    5
    )
    ,
    10

    3
    )
Question 12
12.
    • Solve
    • (
      2
      x
      +
      5
      y
      1
      )
      =
      (
      x
      5
      y
      +
      4
      )
      (
      3
      x
      5
      y
      +
      1
      )
      =
      (
      4
      x
      2
      y
      +
      3
      )
  • (i)
    (
    37

    61
    ,
    39

    61
    )
  • (ii)
    (
    35

    61
    ,
    41

    61
    )
  • (iii)
    (
    5

    9
    ,
    41

    59
    )
  • (iv)
    (
    37

    61
    ,
    41

    59
    )
  • (v)
    (
    5

    9
    ,
    41

    61
    )
    Assignment Key

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