EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Simultaneous Linear Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Solve
(
−
4
x
+
4
y
)
=
4
(
5
x
−
2
y
+
2
)
=
2
(i)
(
2
5
,
5
3
)
(ii)
(
4
3
,
1
)
(iii)
(
2
5
,
3
)
(iv)
(
4
3
,
3
)
(v)
(
2
3
,
5
3
)
Question
2
2.
Solve
(
2
x
−
5
y
+
1
)
=
0
(
−
5
x
+
2
y
−
3
)
=
0
(i)
(
(
-11
21
)
,
(
-1
19
)
)
(ii)
(
(
-13
23
)
,
(
-1
19
)
)
(iii)
(
(
-13
23
)
,
(
-1
21
)
)
(iv)
(
(
-11
21
)
,
(
-1
7
)
)
(v)
(
(
-13
21
)
,
(
-1
21
)
)
Question
3
3.
Solve the following pair of equations :
(
−
13
x
−
7
y
)
=
75
x
y
(
−
4
x
−
y
)
=
15
x
y
(i)
(
(
-1
5
)
,
(
-1
2
)
)
(ii)
(
(
-3
7
)
,
(
-1
2
)
)
(iii)
(
(
-1
7
)
,
(
-1
4
)
)
(iv)
(
(
-1
7
)
,
1
2
)
(v)
(
(
-1
7
)
,
(
-1
2
)
)
Question
4
4.
A motor boat can travel at a speed of 33.22 m/sec downstream and 14.14 m/sec upstream. How much time will it take to cross a distance of 500.12 m in still water?
(i)
23.12 sec
(ii)
20.12 sec
(iii)
22.12 sec
(iv)
19.12 sec
(v)
21.12 sec
Question
5
5.
Solve the following pair of equations :
2
(
5
x
+
y
)
−
4
(
5
x
−
y
)
=
0
1
(
5
x
+
y
)
+
4
(
5
x
−
y
)
=
(
−
6
)
(i)
(
(
-3
20
)
,
(
-1
4
)
)
(ii)
(
(
-3
22
)
,
1
4
)
(iii)
(
(
-3
20
)
,
1
4
)
(iv)
(
(
-1
20
)
,
1
4
)
(v)
(
(
-3
20
)
,
1
2
)
Question
6
6.
Solve the following pair of equations :
−
2
(
x
−
9
)
−
4
(
y
−
2
)
=
38
−
1
(
x
−
9
)
+
4
(
y
−
2
)
=
(
−
23
)
(i)
(
44
5
,
-1
)
(ii)
(
44
5
,
-2
)
(iii)
(
1
,
13
7
)
(iv)
(
44
5
,
13
7
)
(v)
(
2
,
13
7
)
Question
7
7.
Solve the following pair of equations :
−
18
(
x
−
6
)
+
11
(
y
−
3
)
=
27
−
14
(
x
−
6
)
+
5
(
y
−
3
)
=
(
−
11
)
(i)
(
25
4
,
-1
)
(ii)
(
25
4
,
28
9
)
(iii)
(
1
,
28
9
)
(iv)
(
25
4
,
-3
)
(v)
(
3
,
28
9
)
Question
8
8.
A motor boat can travel at a speed of 31.55 m/sec downstream and 0.87 m/sec upstream. What is the speed of the stream?
(i)
16.34 m/sec
(ii)
13.34 m/sec
(iii)
14.34 m/sec
(iv)
15.34 m/sec
(v)
17.34 m/sec
Question
9
9.
Solve the following pair of equations :
−
11
(
5
x
+
y
)
+
12
(
5
x
−
y
)
=
(
−
5
)
2
(
5
x
+
y
)
+
11
(
5
x
−
y
)
=
80
(i)
(
13
422
,
(
-1
84
)
)
(ii)
(
13
420
,
(
-1
84
)
)
(iii)
(
13
420
,
(
-1
82
)
)
(iv)
(
13
420
,
(
-1
28
)
)
(v)
(
1
28
,
(
-1
84
)
)
Question
10
10.
A motor boat can travel at a speed of 30.23 m/sec downstream and 4.29 m/sec upstream. How much distance can the boat travel in 21.63 sec in still water?
(i)
374.33 m
(ii)
372.33 m
(iii)
375.33 m
(iv)
371.33 m
(v)
373.33 m
Question
11
11.
1
men and
1
women can do a piece of work in
48
days.
2
men and
3
women can do the same work in
20
days.
In how many days can
4
men and
5
women complete the same work?
(i)
10
10
11
days
(ii)
10
10
13
days
(iii)
11
1
11
days
(iv)
10
8
11
days
(v)
11
1
9
days
Question
12
12.
A motor boat can travel at a speed of 30.25 m/sec downstream and 5.55 m/sec upstream. How much distance can the boat travel in 26.49 sec in still water?
(i)
476.17 m
(ii)
474.17 m
(iii)
472.17 m
(iv)
475.17 m
(v)
473.17 m
Question
13
13.
Solve
(
3
x
+
3
y
+
1
)
=
(
−
5
)
(
−
4
x
−
y
−
5
)
=
(
−
4
)
(i)
(
1
3
,
(
-7
3
)
)
(ii)
(
1
5
,
(
-7
3
)
)
(iii)
(
1
5
,
-3
)
(iv)
(
1
,
-3
)
Question
14
14.
Solve the following pair of equations :
3
x
−
1
y
=
(
−
9
)
−
2
x
−
6
y
=
(
−
34
)
(i)
(
-1
,
1
4
)
(ii)
(
2
,
1
6
)
(iii)
(
-1
,
1
6
)
(iv)
(
0
,
1
6
)
(v)
(
-1
,
(
-1
6
)
)
Question
15
15.
Solve the following pair of equations :
(
8
x
+
3
y
)
=
26
x
y
(
12
x
−
4
y
)
=
(
−
12
x
y
)
(i)
(
1
6
,
1
1
)
(ii)
(
1
2
,
1
1
)
(iii)
(
1
6
,
0
)
(iv)
(
1
8
,
1
1
)
(v)
(
1
6
,
-2
)
Question
16
16.
Solve
(
4
x
+
2
y
−
4
)
=
(
2
x
−
y
+
2
)
(
4
x
−
y
+
4
)
=
(
3
x
+
y
)
(i)
(
1
,
1
)
(ii)
(
3
,
-1
)
(iii)
(
3
,
1
)
(iv)
(
0
,
2
)
(v)
(
1
,
2
)
Question
17
17.
Solve the following pair of equations :
16
x
−
4
y
=
60
11
x
−
5
y
=
57
(i)
(
1
2
,
(
-1
7
)
)
(ii)
(
1
2
,
1
7
)
(iii)
(
1
2
,
(
-1
9
)
)
(iv)
(
3
2
,
(
-1
7
)
)
(v)
(
1
4
,
(
-1
7
)
)
Question
18
18.
A motor boat can travel at a speed of 10.39 m/sec downstream and 0.29 m/sec upstream. What is the speed of the motor boat in still water?
(i)
5.34 m/sec
(ii)
6.34 m/sec
(iii)
7.34 m/sec
(iv)
3.34 m/sec
(v)
4.34 m/sec
Question
19
19.
5
men and
1
women can do a piece of work in
20
days.
2
men and
3
women can do the same work in
25
days.
In how many days can
5
men and
2
women complete the same work?
(i)
18
days
(ii)
17
1
5
days
(iii)
16
2
3
days
(iv)
17
1
3
days
Question
20
20.
Solve the following pair of equations :
−
6
x
−
2
y
=
(
−
54
)
−
12
x
+
3
y
=
(
−
66
)
(i)
(
1
7
,
4
)
(ii)
(
1
7
,
6
)
(iii)
(
1
9
,
6
)
(iv)
(
1
7
,
5
)
(v)
(
3
7
,
6
)
Question
21
21.
Solve the following pair of equations :
−
6
(
x
+
y
)
−
1
(
x
−
y
)
=
32
−
7
(
x
+
y
)
−
9
(
x
−
y
)
=
6
(i)
(
1
26
,
(
-5
24
)
)
(ii)
(
1
24
,
(
-5
24
)
)
(iii)
(
1
24
,
(
-5
22
)
)
(iv)
(
1
8
,
(
-5
24
)
)
(v)
(
1
24
,
(
-7
24
)
)
Question
22
22.
A motor boat can travel at a speed of 17.23 m/sec downstream and 5.65 m/sec upstream. How much time will it take to cross a distance of 492.72 m in still water?
(i)
45.07 sec
(ii)
43.07 sec
(iii)
41.07 sec
(iv)
44.07 sec
(v)
42.07 sec
Question
23
23.
Solve
(
9
x
+
2
y
+
54
)
=
0
(
−
7
x
−
13
y
−
42
)
=
0
(i)
(
-3
,
0
)
(ii)
(
-5
,
0
)
(iii)
(
-6
,
-1
)
(iv)
(
-6
,
-3
)
(v)
(
-6
,
0
)
Question
24
24.
Solve the following pair of equations :
(
12
x
+
7
y
)
x
y
=
-49
(
10
x
+
16
y
)
x
y
=
10
(i)
(
1
5
,
(
-1
9
)
)
(ii)
(
1
5
,
1
7
)
(iii)
(
1
7
,
(
-1
7
)
)
(iv)
(
3
5
,
(
-1
7
)
)
(v)
(
1
5
,
(
-1
7
)
)
Question
25
25.
Solve the following pair of equations :
6
x
+
8
y
=
(
−
30
)
10
x
+
1
y
=
24
(i)
(
1
3
,
(
-1
6
)
)
(ii)
(
1
3
,
(
-1
8
)
)
(iii)
(
1
,
(
-1
6
)
)
(iv)
(
1
3
,
1
6
)
(v)
(
1
5
,
(
-1
6
)
)
Assignment Key
1) (v)
2) (v)
3) (v)
4) (v)
5) (iii)
6) (iv)
7) (ii)
8) (iv)
9) (ii)
10) (v)
11) (i)
12) (ii)
13) (i)
14) (iii)
15) (i)
16) (iv)
17) (i)
18) (i)
19) (iv)
20) (ii)
21) (ii)
22) (ii)
23) (v)
24) (v)
25) (i)
