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
    • (
      11
      x
      −
      10
      y
      +
      18
      		)
      =
      0
      (
      8
      x
      −
      9
      y
      +
      1
      		)
      =
      0
  • (i)
    (
    -8
    ,
    -9
    )
  • (ii)
    (
    -8
    ,
    -8
    )
  • (iii)
    (
    -6
    ,
    -7
    )
  • (iv)
    (
    -7
    ,
    -7
    )
  • (v)
    (
    -8
    ,
    -7
    )
Question 2
2.
    • Solve
    • (
      3
      x
      +
      5
      y
      −
      4
      		)
      =
      0
      (
      2
      x
      −
      5
      y
      +
      2
      		)
      =
      0
  • (i)
    (
    4
    5
    ,
    14
    23
    )
  • (ii)
    (
    2
    5
    ,
    14
    25
    )
  • (iii)
    (
    4
    5
    ,
    12
    25
    )
  • (iv)
    (
    2
    7
    ,
    14
    25
    )
  • (v)
    (
    2
    7
    ,
    14
    23
    )
Question 3
3.
    • Solve
    • (
      5
      x
      −
      5
      y
      +
      5
      		)
      =
      (
      −
      3
      		)
      (
      −
      4
      x
      +
      3
      y
      +
      1
      		)
      =
      (
      −
      5
      		)
  • (i)
    (
    74
    7
    ,
    38
    3
    )
  • (ii)
    (
    74
    7
    ,
    62
    5
    )
  • (iii)
    (
    56
    5
    ,
    38
    3
    )
  • (iv)
    (
    56
    5
    ,
    12
    )
  • (v)
    (
    54
    5
    ,
    62
    5
    )
Question 4
4.
    • Solve
    • (
      −
      4
      x
      −
      y
      		)
      =
      (
      −
      5
      x
      +
      5
      y
      −
      2
      		)
      (
      3
      x
      +
      2
      y
      		)
      =
      (
      4
      x
      +
      5
      y
      +
      5
      		)
  • (i)
    (
    -4
    ,
    (
    -1
    3
    		 )
    )
  • (ii)
    (
    -3
    ,
    (
    -1
    3
    		 )
    )
  • (iii)
    (
    -3
    ,
    -1
    )
  • (iv)
    (
    -2
    ,
    -1
    )
Question 5
5.
    • Solve
    • (
      −
      15
      x
      −
      y
      −
      127
      		)
      =
      0
      (
      −
      5
      x
      −
      11
      y
      +
      43
      		)
      =
      0
  • (i)
    (
    -9
    ,
    6
    )
  • (ii)
    (
    -9
    ,
    8
    )
  • (iii)
    (
    -7
    ,
    8
    )
  • (iv)
    (
    -9
    ,
    7
    )
  • (v)
    (
    -8
    ,
    8
    )
Question 6
6.
    • Solve
    • (
      5
      x
      −
      3
      y
      +
      3
      		)
      =
      0
      (
      −
      x
      +
      2
      y
      −
      2
      		)
      =
      0
  • (i)
    (
    1
    ,
    0
    )
  • (ii)
    (
    0
    ,
    1
    )
  • (iii)
    (
    2
    ,
    -1
    )
  • (iv)
    (
    1
    ,
    1
    )
  • (v)
    (
    2
    ,
    0
    )
Question 7
7.
    • Solve
    • (
      3
      x
      +
      4
      y
      +
      1
      		)
      =
      4
      (
      x
      +
      4
      y
      +
      1
      		)
      =
      (
      −
      1
      		)
  • (i)
    (
    7
    2
    ,
    (
    -7
    6
    		 )
    )
  • (ii)
    (
    5
    2
    ,
    (
    -9
    8
    		 )
    )
  • (iii)
    (
    7
    2
    ,
    (
    -11
    8
    		 )
    )
  • (iv)
    (
    9
    4
    ,
    (
    -9
    8
    		 )
    )
  • (v)
    (
    9
    4
    ,
    (
    -7
    6
    		 )
    )
Question 8
8.
    • Solve
    • (
      −
      4
      x
      +
      5
      y
      −
      5
      		)
      =
      (
      −
      x
      +
      2
      y
      −
      3
      		)
      (
      −
      5
      x
      −
      y
      +
      2
      		)
      =
      (
      −
      2
      x
      +
      3
      y
      −
      1
      		)
  • (i)
    (
    1
    23
    ,
    5
    7
    )
  • (ii)
    (
    1
    23
    ,
    1
    )
  • (iii)
    (
    1
    7
    ,
    3
    7
    )
  • (iv)
    (
    1
    7
    ,
    1
    )
  • (v)
    (
    1
    21
    ,
    5
    7
    )
Question 9
9.
    • Solve
    • (
      14
      x
      −
      2
      y
      +
      80
      		)
      =
      0
      (
      2
      x
      −
      y
      +
      5
      		)
      =
      0
  • (i)
    (
    -7
    ,
    -9
    )
  • (ii)
    (
    -4
    ,
    -9
    )
  • (iii)
    (
    -7
    ,
    -11
    )
  • (iv)
    (
    -7
    ,
    -10
    )
  • (v)
    (
    -6
    ,
    -9
    )
Question 10
10.
    • Solve
    • (
      5
      x
      +
      4
      y
      +
      4
      		)
      =
      0
      (
      x
      +
      2
      y
      −
      3
      		)
      =
      0
  • (i)
    (
    (
    -10
    3
    		 )
    ,
    19
    6
    )
  • (ii)
    (
    (
    -8
    3
    		 )
    ,
    17
    6
    )
  • (iii)
    (
    (
    -8
    3
    		 )
    ,
    13
    4
    )
  • (iv)
    (
    (
    -16
    5
    		 )
    ,
    13
    4
    )
  • (v)
    (
    (
    -16
    5
    		 )
    ,
    19
    6
    )
Question 11
11.
    • Solve
    • (
      −
      x
      −
      2
      y
      +
      2
      		)
      =
      (
      −
      2
      		)
      (
      −
      3
      x
      +
      3
      y
      −
      2
      		)
      =
      4
  • (i)
    (
    0
    ,
    2
    )
  • (ii)
    (
    1
    ,
    2
    )
  • (iii)
    (
    2
    ,
    1
    )
  • (iv)
    (
    2
    ,
    -1
    )
  • (v)
    (
    1
    ,
    1
    )
Question 12
12.
    • Solve
    • (
      −
      5
      x
      −
      y
      +
      1
      		)
      =
      (
      2
      x
      −
      4
      y
      		)
      (
      −
      x
      +
      5
      y
      +
      4
      		)
      =
      (
      −
      4
      x
      −
      4
      y
      +
      1
      		)
  • (i)
    (
    0
    ,
    (
    -1
    3
    		 )
    )
  • (ii)
    (
    1
    ,
    (
    -1
    3
    		 )
    )
  • (iii)
    (
    3
    ,
    -1
    )
  • (iv)
    (
    1
    ,
    -1
    )
    Assignment Key
  •  1) (v)
  •  2) (ii)
  •  3) (v)
  •  4) (i)
  •  5) (ii)
  •  6) (ii)
  •  7) (ii)
  •  8) (v)
  •  9) (i)
  •  10) (i)
  •  11) (i)
  •  12) (i)