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 15.16 m/sec downstream and 9.54 m/sec upstream. How much time will it take to cross a distance of 486.34 m in still water?
(i)
37.38 sec
(ii)
39.38 sec
(iii)
41.38 sec
(iv)
38.38 sec
(v)
40.38 sec
Question
2
2.
Solve the following pair of equations :
18
x
+
3
y
=
81
13
x
+
8
y
=
6
(i)
(
1
8
,
(
-1
9
)
)
(ii)
(
1
6
,
(
-1
9
)
)
(iii)
(
1
6
,
1
9
)
(iv)
(
1
2
,
(
-1
9
)
)
(v)
(
1
6
,
(
-1
11
)
)
Question
3
3.
Solve
(
−
4
x
−
y
−
3
)
=
(
−
5
x
+
2
y
+
5
)
(
−
5
x
+
3
y
+
4
)
=
(
−
4
x
+
2
y
−
5
)
(i)
(
37
4
,
1
2
)
(ii)
(
37
4
,
1
)
(iii)
(
21
2
,
1
)
(iv)
(
21
2
,
(
-1
2
)
)
(v)
(
19
2
,
1
2
)
Question
4
4.
Solve the following pair of equations :
(
13
x
+
5
y
)
=
69
x
y
(
8
x
+
4
y
)
=
48
x
y
(i)
(
1
6
,
1
3
)
(ii)
(
1
6
,
1
)
(iii)
(
1
6
,
(
-1
3
)
)
(iv)
(
1
2
,
1
3
)
(v)
(
1
8
,
1
3
)
Question
5
5.
Solve
(
2
x
+
5
y
+
4
)
=
0
(
4
x
+
3
y
+
5
)
=
0
(i)
(
(
-11
14
)
,
(
-3
5
)
)
(ii)
(
(
-13
16
)
,
(
-3
7
)
)
(iii)
(
(
-11
14
)
,
(
-5
7
)
)
(iv)
(
(
-13
16
)
,
(
-3
5
)
)
(v)
(
(
-13
14
)
,
(
-3
7
)
)
Question
6
6.
Solve the following pair of equations :
(
10
x
−
15
y
)
=
15
x
y
(
−
6
x
−
y
)
=
(
−
39
x
y
)
(i)
(
1
,
1
6
)
(ii)
(
1
3
,
(
-1
6
)
)
(iii)
(
1
3
,
1
6
)
(iv)
(
1
3
,
1
4
)
(v)
(
1
5
,
1
6
)
Question
7
7.
A motor boat can travel at a speed of 26.20 m/sec downstream and 6.66 m/sec upstream. How much time will it take to cross a distance of 376.41 m in still water?
(i)
21.91 sec
(ii)
23.91 sec
(iii)
20.91 sec
(iv)
24.91 sec
(v)
22.91 sec
Question
8
8.
Solve
(
5
x
−
8
y
+
57
)
=
0
(
−
2
x
−
14
y
+
46
)
=
0
(i)
(
-5
,
3
)
(ii)
(
-3
,
4
)
(iii)
(
-5
,
2
)
(iv)
(
-5
,
4
)
(v)
(
-4
,
4
)
Question
9
9.
Solve the following pair of equations :
−
7
(
5
x
+
y
)
−
10
(
5
x
−
y
)
=
(
−
31
)
−
3
(
5
x
+
y
)
−
3
(
5
x
−
y
)
=
(
−
3
)
(i)
(
(
-1
560
)
,
(
-17
112
)
)
(ii)
(
(
-1
562
)
,
(
-15
112
)
)
(iii)
(
(
-1
560
)
,
(
-3
22
)
)
(iv)
(
(
-1
560
)
,
(
-15
112
)
)
(v)
(
1
560
,
(
-15
112
)
)
Question
10
10.
A motor boat can travel at a speed of 35.05 m/sec downstream and 19.89 m/sec upstream. How much distance can the boat travel in 16.30 sec in still water?
(i)
448.76 m
(ii)
447.76 m
(iii)
445.76 m
(iv)
446.76 m
(v)
449.76 m
Question
11
11.
Solve the following pair of equations :
7
x
+
10
y
=
5
12
x
+
7
y
=
39
(i)
(
1
7
,
-3
)
(ii)
(
1
5
,
-3
)
(iii)
(
1
5
,
-4
)
(iv)
(
1
5
,
-6
)
(v)
(
3
5
,
-3
)
Question
12
12.
Solve
(
4
x
+
5
y
−
1
)
=
(
−
4
)
(
x
−
2
y
)
=
(
−
3
)
(i)
(
(
-21
13
)
,
9
13
)
(ii)
(
(
-23
15
)
,
9
11
)
(iii)
(
(
-19
13
)
,
7
13
)
(iv)
(
(
-19
13
)
,
9
11
)
(v)
(
(
-23
15
)
,
9
13
)
Question
13
13.
Solve the following pair of equations :
−
14
x
+
5
y
=
49
−
4
x
+
7
y
=
53
(i)
(
2
,
1
7
)
(ii)
(
0
,
1
7
)
(iii)
(
-1
,
(
-1
7
)
)
(iv)
(
-1
,
1
5
)
(v)
(
-1
,
1
7
)
Question
14
14.
Solve the following pair of equations :
(
−
3
x
−
12
y
)
x
y
=
-81
(
7
x
+
6
y
)
x
y
=
57
(i)
(
1
6
,
(
-1
3
)
)
(ii)
(
1
2
,
1
3
)
(iii)
(
1
8
,
1
3
)
(iv)
(
1
6
,
1
3
)
(v)
(
1
6
,
1
)
Question
15
15.
A motor boat can travel at a speed of 15.40 m/sec downstream and 2.56 m/sec upstream. What is the speed of the motor boat in still water?
(i)
9.98 m/sec
(ii)
7.98 m/sec
(iii)
6.98 m/sec
(iv)
10.98 m/sec
(v)
8.98 m/sec
Question
16
16.
Solve the following pair of equations :
9
x
−
16
y
=
47
2
x
−
4
y
=
14
(i)
(
(
-1
9
)
,
-9
)
(ii)
(
(
-1
9
)
,
-8
)
(iii)
(
(
-1
3
)
,
-8
)
(iv)
(
(
-1
7
)
,
-8
)
(v)
(
(
-1
9
)
,
-10
)
Question
17
17.
A motor boat can travel at a speed of 26.87 m/sec downstream and 7.97 m/sec upstream. What is the speed of the stream?
(i)
10.45 m/sec
(ii)
9.45 m/sec
(iii)
8.45 m/sec
(iv)
7.45 m/sec
(v)
11.45 m/sec
Question
18
18.
Solve
(
−
x
−
2
y
−
4
)
=
0
(
2
x
−
3
y
+
5
)
=
0
(i)
(
(
-22
7
)
,
(
-3
7
)
)
(ii)
(
(
-20
7
)
,
(
-5
7
)
)
(iii)
(
(
-28
9
)
,
(
-3
5
)
)
(iv)
(
(
-28
9
)
,
(
-3
7
)
)
(v)
(
(
-20
7
)
,
(
-3
5
)
)
Question
19
19.
A motor boat can travel at a speed of 12.06 m/sec downstream and 3.64 m/sec upstream. What is the speed of the motor boat in still water?
(i)
7.85 m/sec
(ii)
9.85 m/sec
(iii)
5.85 m/sec
(iv)
6.85 m/sec
(v)
8.85 m/sec
Question
20
20.
Solve the following pair of equations :
−
15
(
x
+
y
)
+
7
(
x
−
y
)
=
86
−
3
(
x
+
y
)
−
7
(
x
−
y
)
=
(
−
50
)
(i)
(
(
-3
16
)
,
(
-5
14
)
)
(ii)
(
(
-1
16
)
,
(
-5
16
)
)
(iii)
(
(
-1
6
)
,
(
-5
16
)
)
(iv)
(
(
-3
16
)
,
(
-7
16
)
)
(v)
(
(
-3
16
)
,
(
-5
16
)
)
Question
21
21.
Solve
(
2
x
−
3
y
)
=
(
3
x
−
y
)
(
x
+
5
y
−
4
)
=
(
−
4
x
+
2
y
+
3
)
(i)
(
5
,
-2
)
(ii)
(
3
,
-2
)
(iii)
(
2
,
-1
)
(iv)
(
3
,
-1
)
(v)
(
5
,
-3
)
Question
22
22.
Solve the following pair of equations :
17
x
+
2
y
=
(
−
86
)
8
x
−
6
y
=
22
(i)
(
-4
,
1
9
)
(ii)
(
-4
,
(
-1
11
)
)
(iii)
(
-4
,
(
-1
9
)
)
(iv)
(
-2
,
(
-1
9
)
)
(v)
(
-3
,
(
-1
9
)
)
Question
23
23.
Solve the following pair of equations :
1
(
x
+
8
)
+
2
(
y
−
6
)
=
(
−
11
)
8
(
x
+
8
)
+
4
(
y
−
6
)
=
(
−
16
)
(i)
(
1
,
35
6
)
(ii)
(
-7
,
35
6
)
(iii)
(
2
,
35
6
)
(iv)
(
-7
,
-1
)
(v)
(
-7
,
-3
)
Question
24
24.
15
men and
4
women can do a piece of work in
5
days.
8
men and
15
women can do the same work in
5
days.
In how many days can
4
men and
2
women complete the same work?
(i)
16
37
58
days
(ii)
16
37
60
days
(iii)
16
39
58
days
(iv)
16
35
58
days
(v)
16
37
56
days
Question
25
25.
Solve the following pair of equations :
(
−
8
x
+
6
y
)
x
y
=
-20
(
5
x
−
6
y
)
x
y
=
17
(i)
(
(
-3
2
)
,
1
1
)
(ii)
(
(
-1
2
)
,
-1
)
(iii)
(
(
-1
2
)
,
0
)
(iv)
(
1
,
1
1
)
(v)
(
(
-1
2
)
,
1
1
)
Assignment Key
1) (ii)
2) (ii)
3) (v)
4) (i)
5) (v)
6) (iii)
7) (v)
8) (iv)
9) (iv)
10) (ii)
11) (ii)
12) (i)
13) (v)
14) (iv)
15) (v)
16) (ii)
17) (ii)
18) (i)
19) (i)
20) (v)
21) (iii)
22) (iii)
23) (ii)
24) (i)
25) (v)
