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
    • (
      8
      x
      +
      11
      y
      83
      )
      =
      0
      (
      x
      +
      8
      y
      +
      1
      )
      =
      0
  • (i)
    (
    9
    ,
    0
    )
  • (ii)
    (
    9
    ,
    -1
    )
  • (iii)
    (
    11
    ,
    1
    )
  • (iv)
    (
    10
    ,
    1
    )
  • (v)
    (
    9
    ,
    1
    )
Question 2
2.
    • Solve
    • (
      4
      x
      y
      +
      1
      )
      =
      0
      (
      3
      x
      +
      y
      )
      =
      0
  • (i)
    (
    3

    7
    ,
    3

    5
    )
  • (ii)
    (
    3

    7
    ,
    1

    7
    )
  • (iii)
    (
    1

    7
    ,
    3

    7
    )
  • (iv)
    (
    1

    9
    ,
    3

    7
    )
  • (v)
    (
    1

    9
    ,
    3

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

    13
    )
    ,
    (
    -19

    11
    )
    )
  • (ii)
    (
    (
    -7

    15
    )
    ,
    (
    -19

    11
    )
    )
  • (iii)
    (
    (
    -7

    15
    )
    ,
    (
    -21

    13
    )
    )
  • (iv)
    (
    (
    -7

    13
    )
    ,
    (
    -21

    13
    )
    )
  • (v)
    (
    (
    -5

    13
    )
    ,
    (
    -23

    13
    )
    )
Question 4
4.
    • Solve
    • (
      2
      x
      4
      y
      2
      )
      =
      (
      4
      x
      +
      2
      y
      5
      )
      (
      x
      4
      y
      2
      )
      =
      (
      x
      +
      3
      y
      +
      4
      )
  • (i)
    (
    (
    -113

    4
    )
    ,
    -10
    )
  • (ii)
    (
    (
    -57

    2
    )
    ,
    -9
    )
  • (iii)
    (
    (
    -55

    2
    )
    ,
    -10
    )
  • (iv)
    (
    (
    -113

    4
    )
    ,
    -9
    )
  • (v)
    (
    (
    -55

    2
    )
    ,
    -11
    )
Question 5
5.
    • Solve
    • (
      10
      x
      +
      13
      y
      +
      37
      )
      =
      0
      (
      2
      x
      +
      10
      )
      =
      0
  • (i)
    (
    8
    ,
    1
    )
  • (ii)
    (
    5
    ,
    1
    )
  • (iii)
    (
    5
    ,
    0
    )
  • (iv)
    (
    6
    ,
    1
    )
  • (v)
    (
    5
    ,
    -1
    )
Question 6
6.
    • Solve
    • (
      4
      x
      2
      y
      +
      2
      )
      =
      0
      (
      3
      x
      4
      y
      5
      )
      =
      0
  • (i)
    (
    (
    -7

    11
    )
    ,
    (
    -9

    11
    )
    )
  • (ii)
    (
    (
    -7

    11
    )
    ,
    (
    -7

    9
    )
    )
  • (iii)
    (
    (
    -9

    13
    )
    ,
    (
    -7

    11
    )
    )
  • (iv)
    (
    (
    -9

    11
    )
    ,
    (
    -7

    11
    )
    )
  • (v)
    (
    (
    -9

    13
    )
    ,
    (
    -7

    9
    )
    )
Question 7
7.
    • Solve
    • (
      x
      2
      y
      3
      )
      =
      3
      (
      x
      +
      y
      3
      )
      =
      4
  • (i)
    (
    22

    3
    ,
    1
    )
  • (ii)
    (
    20

    3
    ,
    1

    3
    )
  • (iii)
    (
    32

    5
    ,
    1

    3
    )
  • (iv)
    (
    22

    3
    ,
    (
    -1

    3
    )
    )
  • (v)
    (
    32

    5
    ,
    1
    )
Question 8
8.
    • Solve
    • (
      2
      x
      +
      3
      y
      1
      )
      =
      (
      3
      x
      +
      2
      y
      +
      3
      )
      (
      3
      x
      4
      y
      +
      1
      )
      =
      (
      4
      x
      y
      +
      2
      )
  • (i)
    (
    (
    -13

    18
    )
    ,
    (
    -1

    14
    )
    )
  • (ii)
    (
    (
    -13

    18
    )
    ,
    (
    -1

    16
    )
    )
  • (iii)
    (
    (
    -11

    16
    )
    ,
    (
    -3

    16
    )
    )
  • (iv)
    (
    (
    -13

    16
    )
    ,
    (
    -1

    16
    )
    )
  • (v)
    (
    (
    -11

    16
    )
    ,
    (
    -1

    14
    )
    )
Question 9
9.
    • Solve
    • (
      9
      x
      8
      y
      +
      27
      )
      =
      0
      (
      18
      x
      90
      )
      =
      0
  • (i)
    (
    -5
    ,
    9
    )
  • (ii)
    (
    -4
    ,
    9
    )
  • (iii)
    (
    -5
    ,
    7
    )
  • (iv)
    (
    -5
    ,
    8
    )
  • (v)
    (
    -3
    ,
    9
    )
Question 10
10.
    • Solve
    • (
      3
      x
      +
      y
      +
      4
      )
      =
      0
      (
      5
      x
      +
      3
      y
      )
      =
      0
  • (i)
    (
    4
    ,
    5
    )
  • (ii)
    (
    3
    ,
    5
    )
  • (iii)
    (
    6
    ,
    2
    )
  • (iv)
    (
    4
    ,
    4
    )
  • (v)
    (
    6
    ,
    4
    )
Question 11
11.
    • Solve
    • (
      3
      x
      2
      y
      )
      =
      4
      (
      x
      y
      2
      )
      =
      (
      3
      )
  • (i)
    (
    (
    -8

    7
    )
    ,
    (
    -1

    5
    )
    )
  • (ii)
    (
    (
    -4

    5
    )
    ,
    (
    -1

    3
    )
    )
  • (iii)
    (
    (
    -8

    7
    )
    ,
    (
    -1

    3
    )
    )
  • (iv)
    (
    (
    -6

    5
    )
    ,
    (
    -1

    5
    )
    )
  • (v)
    (
    (
    -4

    5
    )
    ,
    (
    -3

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

    5
    ,
    (
    -7

    5
    )
    )
  • (ii)
    (
    3

    5
    ,
    (
    -9

    5
    )
    )
  • (iii)
    (
    1

    7
    ,
    (
    -7

    5
    )
    )
  • (iv)
    (
    1

    7
    ,
    (
    -5

    3
    )
    )
  • (v)
    (
    3

    5
    ,
    (
    -5

    3
    )
    )
    Assignment Key

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