EduSahara™ Assignment
Name : Solution of a Pair of Linear Equations
Chapter : Pair of Linear Equations in Two Variables
Grade : SSC Grade X
License : Non Commercial Use
Question 1
1.
    • Solve
    • (
      2
      y
      4
      )
      =
      0
      (
      4
      x
      y
      +
      6
      )
      =
      0
  • (i)
    (
    -1
    ,
    1
    )
  • (ii)
    (
    -1
    ,
    2
    )
  • (iii)
    (
    0
    ,
    2
    )
  • (iv)
    (
    -1
    ,
    0
    )
  • (v)
    (
    2
    ,
    2
    )
Question 2
2.
    • Solve
    • (
      5
      x
      +
      4
      y
      5
      )
      =
      0
      (
      2
      x
      3
      y
      +
      5
      )
      =
      0
  • (i)
    (
    (
    -3

    23
    )
    ,
    33

    23
    )
  • (ii)
    (
    (
    -5

    23
    )
    ,
    35

    23
    )
  • (iii)
    (
    (
    -1

    5
    )
    ,
    35

    23
    )
  • (iv)
    (
    (
    -3

    23
    )
    ,
    11

    7
    )
  • (v)
    (
    (
    -1

    5
    )
    ,
    11

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

    3
    )
    ,
    11

    7
    )
  • (ii)
    (
    (
    -1

    3
    )
    ,
    9

    5
    )
  • (iii)
    (
    (
    -1

    7
    )
    ,
    9

    7
    )
  • (iv)
    (
    (
    -3

    7
    )
    ,
    11

    7
    )
  • (v)
    (
    (
    -1

    7
    )
    ,
    9

    5
    )
Question 4
4.
    • Solve
    • (
      2
      x
      +
      2
      y
      +
      3
      )
      =
      (
      4
      x
      5
      y
      1
      )
      (
      3
      x
      4
      y
      5
      )
      =
      (
      3
      x
      +
      4
      y
      +
      5
      )
  • (i)
    (
    (
    -19

    47
    )
    ,
    (
    -14

    13
    )
    )
  • (ii)
    (
    (
    -17

    45
    )
    ,
    (
    -14

    13
    )
    )
  • (iii)
    (
    (
    -17

    45
    )
    ,
    (
    -16

    15
    )
    )
  • (iv)
    (
    (
    -19

    45
    )
    ,
    (
    -14

    15
    )
    )
  • (v)
    (
    (
    -19

    47
    )
    ,
    (
    -14

    15
    )
    )
Question 5
5.
    • Solve
    • (
      3
      x
      +
      2
      y
      33
      )
      =
      0
      (
      x
      +
      14
      y
      77
      )
      =
      0
  • (i)
    (
    9
    ,
    6
    )
  • (ii)
    (
    8
    ,
    6
    )
  • (iii)
    (
    7
    ,
    3
    )
  • (iv)
    (
    7
    ,
    6
    )
  • (v)
    (
    7
    ,
    5
    )
Question 6
6.
    • Solve
    • (
      2
      x
      5
      y
      +
      3
      )
      =
      0
      (
      3
      x
      +
      2
      y
      3
      )
      =
      0
  • (i)
    (
    11

    19
    ,
    13

    19
    )
  • (ii)
    (
    3

    7
    ,
    15

    17
    )
  • (iii)
    (
    3

    7
    ,
    15

    19
    )
  • (iv)
    (
    9

    19
    ,
    15

    19
    )
  • (v)
    (
    11

    19
    ,
    15

    17
    )
Question 7
7.
    • Solve
    • (
      2
      x
      +
      4
      y
      +
      3
      )
      =
      3
      (
      5
      x
      +
      3
      y
      4
      )
      =
      (
      1
      )
  • (i)
    (
    6

    13
    ,
    3

    13
    )
  • (ii)
    (
    2

    5
    ,
    3

    11
    )
  • (iii)
    (
    8

    13
    ,
    1

    13
    )
  • (iv)
    (
    2

    5
    ,
    3

    13
    )
  • (v)
    (
    8

    13
    ,
    3

    11
    )
Question 8
8.
    • Solve
    • (
      x
      +
      2
      y
      +
      2
      )
      =
      (
      2
      x
      +
      y
      4
      )
      (
      x
      +
      4
      y
      +
      4
      )
      =
      (
      3
      x
      2
      y
      +
      5
      )
  • (i)
    (
    13

    8
    ,
    (
    -21

    22
    )
    )
  • (ii)
    (
    37

    22
    ,
    (
    -21

    22
    )
    )
  • (iii)
    (
    13

    8
    ,
    (
    -21

    20
    )
    )
  • (iv)
    (
    39

    22
    ,
    (
    -23

    22
    )
    )
  • (v)
    (
    39

    22
    ,
    (
    -21

    20
    )
    )
Question 9
9.
    • Solve
    • (
      13
      x
      +
      3
      y
      57
      )
      =
      0
      (
      3
      x
      9
      )
      =
      0
  • (i)
    (
    -3
    ,
    4
    )
  • (ii)
    (
    0
    ,
    6
    )
  • (iii)
    (
    -3
    ,
    6
    )
  • (iv)
    (
    -2
    ,
    6
    )
  • (v)
    (
    -3
    ,
    5
    )
Question 10
10.
    • Solve
    • (
      x
      +
      2
      y
      +
      2
      )
      =
      0
      (
      4
      x
      y
      +
      3
      )
      =
      0
  • (i)
    (
    (
    -8

    9
    )
    ,
    (
    -5

    9
    )
    )
  • (ii)
    (
    (
    -8

    11
    )
    ,
    (
    -5

    7
    )
    )
  • (iii)
    (
    (
    -2

    3
    )
    ,
    (
    -5

    7
    )
    )
  • (iv)
    (
    (
    -2

    3
    )
    ,
    (
    -7

    9
    )
    )
  • (v)
    (
    (
    -8

    11
    )
    ,
    (
    -5

    9
    )
    )
Question 11
11.
    • Solve
    • (
      5
      x
      y
      +
      3
      )
      =
      (
      2
      )
      (
      3
      x
      +
      5
      y
      +
      2
      )
      =
      5
  • (i)
    (
    13

    14
    ,
    13

    12
    )
  • (ii)
    (
    11

    16
    ,
    15

    14
    )
  • (iii)
    (
    13

    14
    ,
    13

    14
    )
  • (iv)
    (
    11

    16
    ,
    13

    12
    )
  • (v)
    (
    11

    14
    ,
    15

    14
    )
Question 12
12.
    • Solve
    • (
      5
      x
      +
      2
      y
      +
      3
      )
      =
      (
      2
      x
      2
      y
      +
      1
      )
      (
      5
      x
      +
      4
      y
      4
      )
      =
      (
      2
      x
      +
      3
      y
      +
      4
      )
  • (i)
    (
    36

    23
    ,
    -4
    )
  • (ii)
    (
    36

    23
    ,
    (
    -10

    3
    )
    )
  • (iii)
    (
    34

    21
    ,
    (
    -10

    3
    )
    )
  • (iv)
    (
    12

    7
    ,
    -4
    )
    Assignment Key

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