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 17.48 m/sec downstream and 3.60 m/sec upstream. What is the speed of the motor boat in still water?
(i)
8.54 m/sec
(ii)
9.54 m/sec
(iii)
10.54 m/sec
(iv)
12.54 m/sec
(v)
11.54 m/sec
Question
2
2.
Solve
(
−
3
x
+
2
y
+
1
)
=
0
(
−
3
x
+
4
y
−
3
)
=
0
(i)
(
7
3
,
-1
)
(ii)
(
7
5
,
2
)
(iii)
(
7
3
,
1
)
(iv)
(
5
3
,
2
)
(v)
(
7
5
,
1
)
Question
3
3.
Solve the following pair of equations :
−
9
(
4
x
+
y
)
+
1
(
4
x
−
y
)
=
(
−
79
)
−
6
(
4
x
+
y
)
+
18
(
4
x
−
y
)
=
(
−
18
)
(i)
(
11
144
,
(
-7
36
)
)
(ii)
(
11
144
,
(
-7
34
)
)
(iii)
(
13
144
,
(
-7
36
)
)
(iv)
(
11
146
,
(
-7
36
)
)
(v)
(
11
144
,
(
-1
4
)
)
Question
4
4.
Solve the following pair of equations :
10
x
+
9
y
=
18
4
x
+
13
y
=
(
−
68
)
(i)
(
1
9
,
-8
)
(ii)
(
1
9
,
-9
)
(iii)
(
1
9
,
-11
)
(iv)
(
1
11
,
-8
)
(v)
(
1
3
,
-8
)
Question
5
5.
A motor boat can travel at a speed of 11.54 m/sec downstream and 6.24 m/sec upstream. What is the speed of the stream?
(i)
3.65 m/sec
(ii)
2.65 m/sec
(iii)
4.65 m/sec
(iv)
1.65 m/sec
(v)
0.65 m/sec
Question
6
6.
Solve the following pair of equations :
8
x
−
2
y
=
(
−
40
)
6
x
−
11
y
=
46
(i)
(
(
-1
7
)
,
(
-1
8
)
)
(ii)
(
(
-3
7
)
,
(
-1
8
)
)
(iii)
(
(
-1
7
)
,
1
8
)
(iv)
(
(
-1
7
)
,
(
-1
10
)
)
(v)
(
(
-1
5
)
,
(
-1
8
)
)
Question
7
7.
A motor boat can travel at a speed of 35.33 m/sec downstream and 10.63 m/sec upstream. What is the speed of the motor boat in still water?
(i)
24.98 m/sec
(ii)
20.98 m/sec
(iii)
21.98 m/sec
(iv)
22.98 m/sec
(v)
23.98 m/sec
Question
8
8.
Solve the following pair of equations :
(
14
x
−
5
y
)
x
y
=
101
(
x
−
14
y
)
x
y
=
-61
(i)
(
3
5
,
1
9
)
(ii)
(
1
5
,
1
9
)
(iii)
(
1
5
,
1
7
)
(iv)
(
1
5
,
(
-1
9
)
)
(v)
(
1
7
,
1
9
)
Question
9
9.
Solve the following pair of equations :
12
x
−
3
y
=
(
−
69
)
−
3
x
−
16
y
=
101
(i)
(
(
-1
5
)
,
-5
)
(ii)
(
(
-3
7
)
,
-5
)
(iii)
(
(
-1
7
)
,
-8
)
(iv)
(
(
-1
7
)
,
-6
)
(v)
(
(
-1
7
)
,
-5
)
Question
10
10.
A motor boat can travel at a speed of 36.72 m/sec downstream and 23.06 m/sec upstream. How much time will it take to cross a distance of 471.37 m in still water?
(i)
13.77 sec
(ii)
17.77 sec
(iii)
16.77 sec
(iv)
15.77 sec
(v)
14.77 sec
Question
11
11.
Solve the following pair of equations :
−
5
x
+
11
y
=
(
−
78
)
7
x
+
6
y
=
45
(i)
(
9
,
(
-1
5
)
)
(ii)
(
9
,
1
3
)
(iii)
(
10
,
(
-1
3
)
)
(iv)
(
12
,
(
-1
3
)
)
(v)
(
9
,
(
-1
3
)
)
Question
12
12.
A motor boat can travel at a speed of 7.67 m/sec downstream and 2.29 m/sec upstream. How much distance can the boat travel in 31.80 sec in still water?
(i)
158.36 m
(ii)
156.36 m
(iii)
157.36 m
(iv)
160.36 m
(v)
159.36 m
Question
13
13.
Solve the following pair of equations :
(
−
4
x
−
14
y
)
x
y
=
-8
(
−
6
x
−
6
y
)
x
y
=
-42
(i)
(
1
,
1
9
)
(ii)
(
(
-1
2
)
,
1
9
)
(iii)
(
(
-1
2
)
,
1
7
)
(iv)
(
(
-1
2
)
,
(
-1
9
)
)
(v)
(
(
-3
2
)
,
1
9
)
Question
14
14.
Solve
(
−
x
+
5
y
+
1
)
=
4
(
−
3
x
−
y
+
3
)
=
0
(i)
(
3
4
,
3
4
)
(ii)
(
1
2
,
3
4
)
(iii)
(
5
4
,
1
4
)
(iv)
(
5
4
,
3
2
)
(v)
(
1
2
,
3
2
)
Question
15
15.
Solve
(
5
x
−
5
y
+
1
)
=
0
(
x
+
y
)
=
0
(i)
(
(
-1
10
)
,
1
10
)
(ii)
(
(
-1
12
)
,
1
8
)
(iii)
(
(
-1
12
)
,
1
10
)
(iv)
(
1
10
,
1
8
)
(v)
(
1
10
,
(
-1
10
)
)
Question
16
16.
Solve
(
4
x
−
4
y
+
1
)
=
(
5
x
+
2
y
−
2
)
(
2
x
−
3
y
+
2
)
=
(
4
x
−
4
y
−
2
)
(i)
(
29
13
,
0
)
(ii)
(
31
15
,
2
11
)
(iii)
(
31
15
,
2
13
)
(iv)
(
29
13
,
2
11
)
(v)
(
27
13
,
2
13
)
Question
17
17.
A motor boat can travel at a speed of 13.19 m/sec downstream and 5.45 m/sec upstream. How much time will it take to cross a distance of 281.84 m in still water?
(i)
30.24 sec
(ii)
29.24 sec
(iii)
31.24 sec
(iv)
32.24 sec
(v)
28.24 sec
Question
18
18.
A motor boat can travel at a speed of 58.89 m/sec downstream and 10.05 m/sec upstream. How much distance can the boat travel in 10.28 sec in still water?
(i)
352.35 m
(ii)
354.35 m
(iii)
353.35 m
(iv)
355.35 m
(v)
356.35 m
Question
19
19.
Solve the following pair of equations :
8
(
x
+
6
)
−
11
(
y
+
9
)
=
(
−
34
)
3
(
x
+
6
)
−
1
(
y
+
9
)
=
(
−
19
)
(i)
(
(
-43
7
)
,
(
-19
2
)
)
(ii)
(
2
,
(
-19
2
)
)
(iii)
(
1
,
(
-19
2
)
)
(iv)
(
(
-43
7
)
,
-1
)
(v)
(
(
-43
7
)
,
-2
)
Question
20
20.
Solve
(
6
x
+
9
y
−
57
)
=
0
(
5
x
+
8
y
−
48
)
=
0
(i)
(
9
,
1
)
(ii)
(
8
,
-1
)
(iii)
(
10
,
1
)
(iv)
(
8
,
0
)
(v)
(
8
,
1
)
Question
21
21.
Solve the following pair of equations :
−
8
(
4
x
+
y
)
+
7
(
4
x
−
y
)
=
(
−
11
)
−
12
(
4
x
+
y
)
+
13
(
4
x
−
y
)
=
(
−
9
)
(i)
(
7
96
,
(
-1
8
)
)
(ii)
(
3
32
,
(
-1
24
)
)
(iii)
(
1
14
,
(
-1
24
)
)
(iv)
(
7
96
,
(
-1
24
)
)
(v)
(
7
96
,
(
-1
22
)
)
Question
22
22.
Solve the following pair of equations :
(
9
x
−
17
y
)
=
13
x
y
(
−
4
x
−
13
y
)
=
(
−
88
x
y
)
(i)
(
1
6
,
1
9
)
(ii)
(
1
4
,
1
9
)
(iii)
(
3
4
,
1
9
)
(iv)
(
1
4
,
(
-1
9
)
)
(v)
(
1
4
,
1
7
)
Question
23
23.
1
men and
2
women can do a piece of work in
16
days.
5
men and
2
women can do the same work in
6
days.
In how many days can
4
men and
3
women complete the same work?
(i)
6
20
61
days
(ii)
6
2
7
days
(iii)
6
16
61
days
(iv)
6
18
59
days
(v)
6
18
61
days
Question
24
24.
Solve
(
2
x
−
2
y
)
=
(
−
5
)
(
3
x
+
y
+
5
)
=
1
(i)
(
(
-3
2
)
,
7
8
)
(ii)
(
(
-11
8
)
,
5
8
)
(iii)
(
(
-3
2
)
,
7
6
)
(iv)
(
(
-13
8
)
,
7
8
)
(v)
(
(
-11
8
)
,
7
6
)
Question
25
25.
Solve the following pair of equations :
8
(
x
+
y
)
−
4
(
x
−
y
)
=
(
−
52
)
3
(
x
+
y
)
−
3
(
x
−
y
)
=
(
−
18
)
(i)
(
(
-4
9
)
,
3
7
)
(ii)
(
(
-4
7
)
,
1
7
)
(iii)
(
(
-4
7
)
,
3
7
)
(iv)
(
(
-2
7
)
,
3
7
)
(v)
(
(
-4
7
)
,
3
5
)
Assignment Key
1) (iii)
2) (iv)
3) (i)
4) (i)
5) (ii)
6) (i)
7) (iv)
8) (ii)
9) (v)
10) (iv)
11) (v)
12) (i)
13) (ii)
14) (i)
15) (i)
16) (v)
17) (i)
18) (ii)
19) (i)
20) (v)
21) (iv)
22) (ii)
23) (v)
24) (iv)
25) (iii)
