EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Simultaneous Linear Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
A motor boat can travel at a speed of 19.31 m/sec downstream and 7.51 m/sec upstream. What is the speed of the motor boat in still water?
(i)
13.41 m/sec
(ii)
11.41 m/sec
(iii)
15.41 m/sec
(iv)
14.41 m/sec
(v)
12.41 m/sec
Question
2
2.
Solve the following pair of equations :
11
(
x
+
y
)
+
13
(
x
−
y
)
=
(
−
12
)
4
(
x
+
y
)
+
9
(
x
−
y
)
=
(
−
30
)
(i)
(
0
,
(
-1
6
)
)
(ii)
(
0
,
1
6
)
(iii)
(
0
,
1
4
)
(iv)
(
3
,
1
6
)
(v)
(
1
,
1
6
)
Question
3
3.
Solve the following pair of equations :
(
12
x
+
16
y
)
x
y
=
-44
(
8
x
+
y
)
x
y
=
-68
(i)
(
1
4
,
1
9
)
(ii)
(
1
6
,
(
-1
9
)
)
(iii)
(
1
4
,
(
-1
11
)
)
(iv)
(
1
4
,
(
-1
9
)
)
(v)
(
3
4
,
(
-1
9
)
)
Question
4
4.
Solve the following pair of equations :
6
(
4
x
+
y
)
−
2
(
4
x
−
y
)
=
28
8
(
4
x
+
y
)
+
5
(
4
x
−
y
)
=
(
−
1
)
(i)
(
1
60
,
2
15
)
(ii)
(
1
60
,
4
15
)
(iii)
(
1
20
,
4
15
)
(iv)
(
1
62
,
4
15
)
(v)
(
1
60
,
4
13
)
Question
5
5.
Solve the following pair of equations :
−
6
x
+
3
y
=
(
−
6
)
−
12
x
+
11
y
=
18
(i)
(
5
,
1
6
)
(ii)
(
4
,
(
-1
6
)
)
(iii)
(
6
,
1
6
)
(iv)
(
4
,
1
4
)
(v)
(
4
,
1
6
)
Question
6
6.
Solve
(
−
2
x
−
5
y
−
4
)
=
(
−
2
)
(
2
x
+
4
y
+
2
)
=
5
(i)
(
25
2
,
-6
)
(ii)
(
23
2
,
-5
)
(iii)
(
45
4
,
-6
)
(iv)
(
25
2
,
-7
)
(v)
(
45
4
,
-5
)
Question
7
7.
Solve the following pair of equations :
−
6
x
−
1
y
=
(
−
44
)
−
5
x
+
1
y
=
(
−
33
)
(i)
(
1
7
,
1
)
(ii)
(
1
9
,
1
2
)
(iii)
(
3
7
,
1
2
)
(iv)
(
1
7
,
1
2
)
(v)
(
1
7
,
(
-1
2
)
)
Question
8
8.
Solve the following pair of equations :
13
(
x
+
7
)
−
10
(
y
−
9
)
=
(
−
31
)
14
(
x
+
7
)
+
2
(
y
−
9
)
=
(
−
110
)
(i)
(
(
-50
7
)
,
53
6
)
(ii)
(
(
-50
7
)
,
-2
)
(iii)
(
2
,
53
6
)
(iv)
(
1
,
53
6
)
(v)
(
(
-50
7
)
,
-1
)
Question
9
9.
Solve
(
−
2
x
+
2
y
)
=
0
(
3
x
−
5
y
−
1
)
=
0
(i)
(
(
-1
4
)
,
-1
)
(ii)
(
1
2
,
-1
)
(iii)
(
(
-1
2
)
,
(
-1
2
)
)
(iv)
(
1
2
,
(
-3
2
)
)
(v)
(
(
-1
4
)
,
(
-1
2
)
)
Question
10
10.
Solve the following pair of equations :
11
x
−
8
y
=
45
2
x
+
3
y
=
(
−
23
)
(i)
(
1
-1
,
-8
)
(ii)
(
1
-1
,
-7
)
(iii)
(
0
,
-7
)
(iv)
(
1
,
-7
)
(v)
(
1
-1
,
-9
)
Question
11
11.
Solve the following pair of equations :
7
x
−
2
y
=
(
−
59
)
3
x
−
11
y
=
(
−
5
)
(i)
(
(
-1
9
)
,
1
2
)
(ii)
(
(
-1
9
)
,
(
-1
2
)
)
(iii)
(
(
-1
7
)
,
(
-1
2
)
)
(iv)
(
(
-1
9
)
,
(
-1
4
)
)
(v)
(
(
-1
3
)
,
(
-1
2
)
)
Question
12
12.
A motor boat can travel at a speed of 21.88 m/sec downstream and 7.44 m/sec upstream. What is the speed of the stream?
(i)
7.22 m/sec
(ii)
6.22 m/sec
(iii)
8.22 m/sec
(iv)
5.22 m/sec
(v)
9.22 m/sec
Question
13
13.
Solve
(
x
+
5
y
+
5
)
=
0
(
3
x
+
5
y
−
4
)
=
0
(i)
(
9
2
,
(
-19
10
)
)
(ii)
(
17
4
,
(
-19
10
)
)
(iii)
(
17
4
,
(
-17
8
)
)
(iv)
(
11
2
,
(
-21
10
)
)
(v)
(
11
2
,
(
-17
8
)
)
Question
14
14.
A motor boat can travel at a speed of 40.12 m/sec downstream and 8.76 m/sec upstream. How much distance can the boat travel in 14.52 sec in still water?
(i)
356.87 m
(ii)
353.87 m
(iii)
355.87 m
(iv)
352.87 m
(v)
354.87 m
Question
15
15.
A motor boat can travel at a speed of 19.18 m/sec downstream and 0.44 m/sec upstream. What is the speed of the motor boat in still water?
(i)
11.81 m/sec
(ii)
9.81 m/sec
(iii)
8.81 m/sec
(iv)
10.81 m/sec
(v)
7.81 m/sec
Question
16
16.
Solve the following pair of equations :
1
(
x
+
y
)
−
1
(
x
−
y
)
=
(
−
7
)
−
3
(
x
+
y
)
−
6
(
x
−
y
)
=
(
−
15
)
(i)
(
(
-1
26
)
,
(
-7
24
)
)
(ii)
(
(
-1
24
)
,
(
-3
8
)
)
(iii)
(
(
-1
24
)
,
(
-7
24
)
)
(iv)
(
(
-1
24
)
,
(
-7
22
)
)
(v)
(
1
24
,
(
-7
24
)
)
Question
17
17.
Solve the following pair of equations :
13
x
+
10
y
=
37
11
x
+
8
y
=
35
(i)
(
9
,
(
-1
8
)
)
(ii)
(
9
,
(
-1
10
)
)
(iii)
(
10
,
(
-1
8
)
)
(iv)
(
9
,
1
8
)
(v)
(
12
,
(
-1
8
)
)
Question
18
18.
Solve the following pair of equations :
(
2
x
+
3
y
)
x
y
=
-6
(
−
11
x
−
2
y
)
x
y
=
-25
(i)
(
(
-1
4
)
,
1
)
(ii)
(
(
-1
2
)
,
1
3
)
(iii)
(
(
-1
4
)
,
(
-1
3
)
)
(iv)
(
(
-3
4
)
,
1
3
)
(v)
(
(
-1
4
)
,
1
3
)
Question
19
19.
Solve
(
−
2
x
+
2
y
−
16
)
=
0
(
−
6
x
−
6
y
+
24
)
=
0
(i)
(
-2
,
5
)
(ii)
(
-2
,
3
)
(iii)
(
-1
,
6
)
(iv)
(
-2
,
6
)
(v)
(
0
,
6
)
Question
20
20.
Solve the following pair of equations :
−
9
(
x
−
4
)
+
8
(
y
+
7
)
=
(
−
17
)
−
10
(
x
−
4
)
+
7
(
y
+
7
)
=
(
−
34
)
(i)
(
2
,
(
-55
8
)
)
(ii)
(
37
9
,
-3
)
(iii)
(
1
,
(
-55
8
)
)
(iv)
(
37
9
,
-1
)
(v)
(
37
9
,
(
-55
8
)
)
Question
21
21.
2
men and
1
women can do a piece of work in
16
days.
2
men and
5
women can do the same work in
8
days.
In how many days can
4
men and
2
women complete the same work?
(i)
8
days
(ii)
11
days
(iii)
9
days
(iv)
5
days
(v)
7
days
Question
22
22.
Solve the following pair of equations :
(
10
x
−
8
y
)
=
8
x
y
(
18
x
−
14
y
)
=
18
x
y
(i)
(
1
9
,
(
-1
8
)
)
(ii)
(
1
9
,
1
8
)
(iii)
(
1
9
,
1
6
)
(iv)
(
1
3
,
1
8
)
(v)
(
1
11
,
1
8
)
Question
23
23.
Solve
(
2
x
+
y
−
1
)
=
(
4
x
+
5
y
)
(
2
x
−
5
y
+
1
)
=
(
−
5
x
+
3
y
+
5
)
(i)
(
4
11
,
(
-5
14
)
)
(ii)
(
2
13
,
(
-5
14
)
)
(iii)
(
2
13
,
(
-15
44
)
)
(iv)
(
2
11
,
(
-15
44
)
)
(v)
(
4
11
,
(
-17
44
)
)
Question
24
24.
Solve the following pair of equations :
−
11
x
+
y
=
(
−
70
)
−
8
x
+
8
y
=
0
(i)
(
1
7
,
6
)
(ii)
(
1
9
,
7
)
(iii)
(
1
7
,
7
)
(iv)
(
1
7
,
4
)
(v)
(
3
7
,
7
)
Question
25
25.
A motor boat can travel at a speed of 22.54 m/sec downstream and 5.26 m/sec upstream. How much time will it take to cross a distance of 370.85 m in still water?
(i)
24.68 sec
(ii)
28.68 sec
(iii)
26.68 sec
(iv)
25.68 sec
(v)
27.68 sec
Assignment Key
1) (i)
2) (ii)
3) (iv)
4) (ii)
5) (v)
6) (ii)
7) (iv)
8) (i)
9) (iii)
10) (ii)
11) (ii)
12) (i)
13) (i)
14) (v)
15) (ii)
16) (iii)
17) (i)
18) (v)
19) (iv)
20) (v)
21) (i)
22) (ii)
23) (iv)
24) (iii)
25) (iii)
