EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Simultaneous Linear Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
8
men and
5
women can do a piece of work in
20
days.
2
men and
3
women can do the same work in
40
days.
In how many days can
4
men and
4
women complete the same work?
(i)
27
days
(ii)
25
days
(iii)
28
days
(iv)
29
days
(v)
31
days
Question
2
2.
Solve the following pair of equations :
1
(
x
+
y
)
+
17
(
x
−
y
)
=
111
−
8
(
x
+
y
)
+
3
(
x
−
y
)
=
(
−
54
)
(i)
(
5
38
,
(
-1
36
)
)
(ii)
(
7
36
,
(
-1
36
)
)
(iii)
(
5
36
,
(
-1
34
)
)
(iv)
(
5
36
,
(
-1
12
)
)
(v)
(
5
36
,
(
-1
36
)
)
Question
3
3.
A motor boat can travel at a speed of 47.22 m/sec downstream and 40.50 m/sec upstream. How much distance can the boat travel in 11.15 sec in still water?
(i)
489.04 m
(ii)
490.04 m
(iii)
488.04 m
(iv)
487.04 m
(v)
491.04 m
Question
4
4.
Solve the following pair of equations :
x
+
9
y
=
0
6
x
+
17
y
=
37
(i)
(
9
,
1
-1
)
(ii)
(
9
,
-2
)
(iii)
(
10
,
1
-1
)
(iv)
(
12
,
1
-1
)
(v)
(
9
,
-3
)
Question
5
5.
Solve the following pair of equations :
(
−
7
x
−
17
y
)
x
y
=
22
(
−
14
x
−
10
y
)
x
y
=
-76
(i)
(
(
-3
5
)
,
1
9
)
(ii)
(
(
-1
5
)
,
1
7
)
(iii)
(
(
-1
5
)
,
(
-1
9
)
)
(iv)
(
(
-1
5
)
,
1
9
)
(v)
(
(
-1
3
)
,
1
9
)
Question
6
6.
Solve the following pair of equations :
14
x
+
y
=
89
16
x
−
y
=
121
(i)
(
3
7
,
-9
)
(ii)
(
1
9
,
-9
)
(iii)
(
1
7
,
-11
)
(iv)
(
1
7
,
-10
)
(v)
(
1
7
,
-9
)
Question
7
7.
Solve
(
x
−
2
y
−
1
)
=
(
−
2
x
−
3
y
−
1
)
(
−
4
x
−
5
y
+
3
)
=
(
−
2
x
+
y
−
4
)
(i)
(
(
-7
16
)
,
21
16
)
(ii)
(
(
-5
16
)
,
19
14
)
(iii)
(
(
-7
18
)
,
21
16
)
(iv)
(
(
-5
16
)
,
19
16
)
(v)
(
(
-7
18
)
,
19
14
)
Question
8
8.
Solve
(
−
2
x
+
y
+
3
)
=
(
−
1
)
(
−
5
x
−
5
y
)
=
(
−
2
)
(i)
(
22
15
,
(
-16
15
)
)
(ii)
(
24
17
,
(
-16
15
)
)
(iii)
(
8
5
,
(
-6
5
)
)
(iv)
(
24
17
,
(
-14
13
)
)
(v)
(
8
5
,
(
-14
13
)
)
Question
9
9.
Solve
(
−
11
x
+
7
y
+
36
)
=
0
(
−
10
x
+
14
y
−
36
)
=
0
(i)
(
9
,
8
)
(ii)
(
11
,
9
)
(iii)
(
9
,
9
)
(iv)
(
9
,
7
)
(v)
(
10
,
9
)
Question
10
10.
A motor boat can travel at a speed of 41.74 m/sec downstream and 35.70 m/sec upstream. What is the speed of the motor boat in still water?
(i)
37.72 m/sec
(ii)
39.72 m/sec
(iii)
36.72 m/sec
(iv)
38.72 m/sec
(v)
40.72 m/sec
Question
11
11.
Solve the following pair of equations :
−
1
(
x
+
7
)
+
14
(
y
+
7
)
=
33
−
9
(
x
+
7
)
+
10
(
y
+
7
)
=
(
−
51
)
(i)
(
(
-62
9
)
,
-3
)
(ii)
(
(
-62
9
)
,
(
-20
3
)
)
(iii)
(
3
,
(
-20
3
)
)
(iv)
(
1
,
(
-20
3
)
)
(v)
(
(
-62
9
)
,
-1
)
Question
12
12.
Solve the following pair of equations :
−
4
x
−
8
y
=
12
11
x
+
4
y
=
3
(i)
(
1
1
,
(
-1
4
)
)
(ii)
(
4
,
(
-1
2
)
)
(iii)
(
2
,
(
-1
2
)
)
(iv)
(
1
1
,
1
2
)
(v)
(
1
1
,
(
-1
2
)
)
Question
13
13.
A motor boat can travel at a speed of 24.40 m/sec downstream and 5.34 m/sec upstream. How much time will it take to cross a distance of 434.06 m in still water?
(i)
30.19 sec
(ii)
31.19 sec
(iii)
29.19 sec
(iv)
27.19 sec
(v)
28.19 sec
Question
14
14.
Solve the following pair of equations :
5
x
−
12
y
=
(
−
9
)
4
x
−
11
y
=
(
−
3
)
(i)
(
(
-1
9
)
,
-3
)
(ii)
(
(
-1
3
)
,
-3
)
(iii)
(
(
-1
7
)
,
-3
)
(iv)
(
(
-1
9
)
,
-5
)
(v)
(
(
-1
9
)
,
-4
)
Question
15
15.
Solve the following pair of equations :
16
(
x
+
y
)
+
15
(
x
−
y
)
=
39
−
2
(
x
+
y
)
+
11
(
x
−
y
)
=
(
−
95
)
(i)
(
(
-1
63
)
,
8
61
)
(ii)
(
1
63
,
8
63
)
(iii)
(
(
-1
63
)
,
2
21
)
(iv)
(
(
-1
63
)
,
8
63
)
(v)
(
(
-1
65
)
,
8
63
)
Question
16
16.
A motor boat can travel at a speed of 19.82 m/sec downstream and 10.12 m/sec upstream. How much time will it take to cross a distance of 376.35 m in still water?
(i)
24.14 sec
(ii)
26.14 sec
(iii)
27.14 sec
(iv)
25.14 sec
(v)
23.14 sec
Question
17
17.
Solve
(
−
7
x
+
8
y
+
17
)
=
0
(
3
x
−
21
)
=
0
(i)
(
8
,
4
)
(ii)
(
7
,
1
)
(iii)
(
7
,
4
)
(iv)
(
10
,
4
)
(v)
(
7
,
3
)
Question
18
18.
Solve
(
2
x
−
4
y
+
4
)
=
0
(
x
−
3
y
)
=
0
(i)
(
-3
,
-4
)
(ii)
(
-5
,
-3
)
(iii)
(
-6
,
-2
)
(iv)
(
-3
,
-3
)
(v)
(
-5
,
-2
)
Question
19
19.
Solve
(
−
x
+
2
y
+
2
)
=
(
−
3
x
−
y
+
2
)
(
−
2
x
+
4
y
−
4
)
=
(
4
x
−
5
y
−
2
)
(i)
(
(
-1
6
)
,
1
9
)
(ii)
(
(
-1
8
)
,
1
7
)
(iii)
(
(
-1
8
)
,
1
9
)
(iv)
(
1
6
,
1
7
)
(v)
(
1
6
,
(
-1
9
)
)
Question
20
20.
A motor boat can travel at a speed of 19.27 m/sec downstream and 1.55 m/sec upstream. What is the speed of the stream?
(i)
8.86 m/sec
(ii)
7.86 m/sec
(iii)
9.86 m/sec
(iv)
6.86 m/sec
(v)
10.86 m/sec
Question
21
21.
Solve the following pair of equations :
−
8
(
4
x
+
y
)
+
8
(
4
x
−
y
)
=
0
−
3
(
4
x
+
y
)
+
12
(
4
x
−
y
)
=
54
(i)
(
1
26
,
0
)
(ii)
(
1
24
,
-3
)
(iii)
(
1
24
,
0
)
(iv)
(
1
8
,
0
)
(v)
(
1
24
,
-1
)
Question
22
22.
Solve the following pair of equations :
(
−
4
x
−
y
)
=
12
x
y
(
−
3
x
+
5
y
)
=
(
−
14
x
y
)
(i)
(
(
-1
4
)
,
1
2
)
(ii)
(
(
-1
4
)
,
(
-1
2
)
)
(iii)
(
(
-3
4
)
,
(
-1
2
)
)
(iv)
(
(
-1
2
)
,
(
-1
2
)
)
(v)
(
(
-1
4
)
,
(
-1
4
)
)
Question
23
23.
Solve the following pair of equations :
6
x
+
5
y
=
(
−
57
)
4
x
−
3
y
=
19
(i)
(
(
-1
2
)
,
(
-1
9
)
)
(ii)
(
1
,
(
-1
9
)
)
(iii)
(
(
-1
2
)
,
1
9
)
(iv)
(
(
-1
2
)
,
(
-1
11
)
)
(v)
(
(
-3
2
)
,
(
-1
9
)
)
Question
24
24.
A motor boat can travel at a speed of 23.05 m/sec downstream and 11.29 m/sec upstream. What is the speed of the stream?
(i)
7.88 m/sec
(ii)
4.88 m/sec
(iii)
6.88 m/sec
(iv)
3.88 m/sec
(v)
5.88 m/sec
Question
25
25.
A motor boat can travel at a speed of 35.74 m/sec downstream and 1.58 m/sec upstream. What is the speed of the motor boat in still water?
(i)
16.66 m/sec
(ii)
17.66 m/sec
(iii)
20.66 m/sec
(iv)
18.66 m/sec
(v)
19.66 m/sec
Assignment Key
1) (iii)
2) (v)
3) (i)
4) (i)
5) (iv)
6) (v)
7) (i)
8) (i)
9) (iii)
10) (iv)
11) (ii)
12) (v)
13) (iii)
14) (i)
15) (iv)
16) (iv)
17) (iii)
18) (iii)
19) (i)
20) (i)
21) (iii)
22) (ii)
23) (i)
24) (v)
25) (iv)
