EduSahara™ Assignment
Name : Pair of Linear Equations in Two Variables
Chapter : Pair of Linear Equations in Two Variables
Grade : CBSE Grade X
License : Non Commercial Use
Question 1
1.
    • Solve
    • (
      4
      x
      +
      8
      y
      16
      )
      =
      0
      (
      4
      x
      +
      9
      y
      17
      )
      =
      0
  • (i)
    (
    3
    ,
    1
    )
  • (ii)
    (
    2
    ,
    -2
    )
  • (iii)
    (
    4
    ,
    1
    )
  • (iv)
    (
    2
    ,
    1
    )
  • (v)
    (
    2
    ,
    0
    )
Question 2
2.
    • Solve
    • (
      2
      x
      +
      2
      y
      )
      =
      0
      (
      5
      x
      y
      +
      3
      )
      =
      0
  • (i)
    (
    (
    -3

    4
    )
    ,
    (
    -3

    4
    )
    )
  • (ii)
    (
    (
    -1

    2
    )
    ,
    (
    -3

    4
    )
    )
  • (iii)
    (
    (
    -1

    4
    )
    ,
    (
    -3

    2
    )
    )
  • (iv)
    (
    (
    -1

    4
    )
    ,
    (
    -5

    4
    )
    )
  • (v)
    (
    (
    -1

    2
    )
    ,
    (
    -3

    2
    )
    )
Question 3
3.
    • Solve
    • (
      5
      x
      +
      2
      y
      +
      3
      )
      =
      (
      3
      )
      (
      4
      x
      +
      4
      y
      5
      )
      =
      0
  • (i)
    (
    17

    14
    ,
    1

    28
    )
  • (ii)
    (
    19

    14
    ,
    (
    -1

    28
    )
    )
  • (iii)
    (
    19

    16
    ,
    1

    28
    )
  • (iv)
    (
    19

    14
    ,
    1

    26
    )
  • (v)
    (
    19

    16
    ,
    1

    26
    )
Question 4
4.
    • Solve
    • (
      x
      +
      2
      y
      3
      )
      =
      (
      3
      x
      +
      4
      y
      2
      )
      (
      4
      x
      +
      2
      y
      2
      )
      =
      (
      3
      x
      y
      +
      3
      )
  • (i)
    (
    19

    6
    ,
    11

    4
    )
  • (ii)
    (
    19

    6
    ,
    7

    2
    )
  • (iii)
    (
    15

    4
    ,
    7

    2
    )
  • (iv)
    (
    13

    4
    ,
    11

    4
    )
  • (v)
    (
    15

    4
    ,
    9

    4
    )
Question 5
5.
    • Solve
    • (
      6
      x
      +
      48
      )
      =
      0
      (
      2
      x
      +
      2
      y
      18
      )
      =
      0
  • (i)
    (
    9
    ,
    1
    )
  • (ii)
    (
    8
    ,
    0
    )
  • (iii)
    (
    8
    ,
    -1
    )
  • (iv)
    (
    8
    ,
    1
    )
  • (v)
    (
    11
    ,
    1
    )
Question 6
6.
    • Solve
    • (
      3
      x
      5
      y
      4
      )
      =
      0
      (
      5
      x
      5
      y
      4
      )
      =
      0
  • (i)
    (
    3
    ,
    (
    -6

    5
    )
    )
  • (ii)
    (
    0
    ,
    (
    -4

    5
    )
    )
  • (iii)
    (
    1
    ,
    (
    -4

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

    5
    )
    )
  • (v)
    (
    3
    ,
    (
    -4

    3
    )
    )
Question 7
7.
    • Solve
    • (
      x
      4
      y
      1
      )
      =
      (
      1
      )
      (
      5
      x
      3
      y
      +
      1
      )
      =
      3
  • (i)
    (
    10

    23
    ,
    (
    -2

    21
    )
    )
  • (ii)
    (
    10

    23
    ,
    (
    -4

    23
    )
    )
  • (iii)
    (
    8

    23
    ,
    (
    -2

    23
    )
    )
  • (iv)
    (
    8

    25
    ,
    (
    -2

    21
    )
    )
  • (v)
    (
    8

    25
    ,
    (
    -2

    23
    )
    )
Question 8
8.
    • Solve
    • (
      5
      x
      y
      +
      5
      )
      =
      (
      x
      +
      y
      +
      2
      )
      (
      3
      x
      3
      y
      +
      2
      )
      =
      (
      2
      x
      y
      +
      2
      )
  • (i)
    (
    1

    3
    ,
    5

    6
    )
  • (ii)
    (
    1

    5
    ,
    5

    6
    )
  • (iii)
    (
    1
    ,
    5

    4
    )
  • (iv)
    (
    1

    5
    ,
    5

    4
    )
  • (v)
    (
    1
    ,
    1

    2
    )
Question 9
9.
    • Solve
    • (
      6
      x
      +
      8
      y
      18
      )
      =
      0
      (
      8
      x
      y
      24
      )
      =
      0
  • (i)
    (
    5
    ,
    0
    )
  • (ii)
    (
    3
    ,
    -1
    )
  • (iii)
    (
    4
    ,
    0
    )
  • (iv)
    (
    3
    ,
    0
    )
  • (v)
    (
    3
    ,
    -2
    )
Question 10
10.
    • Solve
    • (
      x
      y
      +
      3
      )
      =
      0
      (
      3
      x
      5
      y
      3
      )
      =
      0
  • (i)
    (
    -8
    ,
    -7
    )
  • (ii)
    (
    -8
    ,
    -6
    )
  • (iii)
    (
    -7
    ,
    -8
    )
  • (iv)
    (
    -9
    ,
    -6
    )
  • (v)
    (
    -7
    ,
    -7
    )
Question 11
11.
    • Solve
    • (
      5
      x
      5
      y
      +
      2
      )
      =
      1
      (
      x
      5
      y
      )
      =
      (
      2
      )
  • (i)
    (
    (
    -1

    6
    )
    ,
    11

    30
    )
  • (ii)
    (
    1

    6
    ,
    11

    28
    )
  • (iii)
    (
    1

    6
    ,
    3

    10
    )
  • (iv)
    (
    (
    -1

    8
    )
    ,
    11

    28
    )
  • (v)
    (
    (
    -1

    8
    )
    ,
    11

    30
    )
Question 12
12.
    • Solve
    • (
      5
      x
      3
      y
      +
      3
      )
      =
      (
      3
      x
      +
      2
      y
      )
      (
      4
      x
      +
      y
      +
      1
      )
      =
      (
      3
      x
      +
      4
      y
      +
      1
      )
  • (i)
    (
    -7
    ,
    -4
    )
  • (ii)
    (
    -9
    ,
    -3
    )
  • (iii)
    (
    -8
    ,
    -4
    )
  • (iv)
    (
    -7
    ,
    -6
    )
  • (v)
    (
    -8
    ,
    -3
    )
    Assignment Key

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