EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Simultaneous Linear Equations
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
Solve the following pair of equations :
8
x
+
8
y
=
32
7
x
+
1
y
=
34
(i)
(
1
7
,
1
-1
)
(ii)
(
3
5
,
1
-1
)
(iii)
(
1
5
,
-2
)
(iv)
(
1
5
,
-3
)
(v)
(
1
5
,
1
-1
)
Question
2
2.
Solve the following pair of equations :
−
9
x
−
2
y
=
67
−
6
x
−
8
y
=
(
−
2
)
(i)
(
(
-1
3
)
,
1
7
)
(ii)
(
(
-1
9
)
,
1
7
)
(iii)
(
(
-1
9
)
,
1
5
)
(iv)
(
(
-1
7
)
,
1
7
)
(v)
(
(
-1
9
)
,
(
-1
7
)
)
Question
3
3.
Solve
(
−
6
x
+
5
y
+
16
)
=
0
(
−
12
x
−
2
y
+
80
)
=
0
(i)
(
9
,
4
)
(ii)
(
7
,
4
)
(iii)
(
6
,
2
)
(iv)
(
6
,
4
)
(v)
(
6
,
3
)
Question
4
4.
Solve the following pair of equations :
5
x
+
3
y
=
(
−
1
)
9
x
+
7
y
=
(
−
13
)
(i)
(
1
4
,
-10
)
(ii)
(
1
6
,
-7
)
(iii)
(
1
4
,
-8
)
(iv)
(
3
4
,
-7
)
(v)
(
1
4
,
-7
)
Question
5
5.
Solve
(
4
x
−
3
y
−
2
)
=
0
(
4
x
−
2
y
+
5
)
=
0
(i)
(
(
-17
4
)
,
-10
)
(ii)
(
(
-9
2
)
,
-8
)
(iii)
(
(
-19
4
)
,
-7
)
(iv)
(
(
-9
2
)
,
-7
)
(v)
(
(
-17
4
)
,
-8
)
Question
6
6.
Solve the following pair of equations :
−
7
(
x
−
7
)
−
15
(
y
−
9
)
=
(
−
3
)
3
(
x
−
7
)
−
2
(
y
−
9
)
=
(
−
24
)
(i)
(
1
,
28
3
)
(ii)
(
3
,
28
3
)
(iii)
(
41
6
,
28
3
)
(iv)
(
41
6
,
-3
)
(v)
(
41
6
,
-1
)
Question
7
7.
Solve the following pair of equations :
3
(
x
+
y
)
−
2
(
x
−
y
)
=
(
−
8
)
5
(
x
+
y
)
−
11
(
x
−
y
)
=
2
(i)
(
(
-3
8
)
,
1
6
)
(ii)
(
(
-3
8
)
,
(
-1
8
)
)
(iii)
(
(
-3
8
)
,
1
8
)
(iv)
(
(
-1
8
)
,
1
8
)
(v)
(
(
-3
10
)
,
1
8
)
Question
8
8.
Solve the following pair of equations :
(
−
6
x
+
11
y
)
x
y
=
34
(
3
x
+
y
)
x
y
=
-4
(i)
(
1
2
,
(
-1
2
)
)
(ii)
(
3
2
,
(
-1
2
)
)
(iii)
(
1
2
,
1
2
)
(iv)
(
1
2
,
(
-1
4
)
)
(v)
(
1
4
,
(
-1
2
)
)
Question
9
9.
A motor boat can travel at a speed of 10.02 m/sec downstream and 1.24 m/sec upstream. What is the speed of the motor boat in still water?
(i)
7.63 m/sec
(ii)
3.63 m/sec
(iii)
4.63 m/sec
(iv)
5.63 m/sec
(v)
6.63 m/sec
Question
10
10.
Solve
(
3
x
+
4
y
+
1
)
=
5
(
3
x
+
5
y
+
4
)
=
5
(i)
(
26
5
,
-3
)
(ii)
(
16
3
,
-3
)
(iii)
(
26
5
,
-4
)
(iv)
(
6
,
-4
)
(v)
(
6
,
-6
)
Question
11
11.
Solve
(
4
x
−
5
y
+
5
)
=
0
(
4
x
+
5
y
−
5
)
=
0
(i)
(
1
,
0
)
(ii)
(
2
,
0
)
(iii)
(
0
,
1
)
(iv)
(
1
,
1
)
(v)
(
2
,
-2
)
Question
12
12.
Solve the following pair of equations :
(
−
12
x
+
y
)
=
64
x
y
(
−
4
x
+
9
y
)
=
(
−
48
x
y
)
(i)
(
(
-1
8
)
,
(
-1
8
)
)
(ii)
(
(
-1
6
)
,
(
-1
6
)
)
(iii)
(
(
-1
8
)
,
1
6
)
(iv)
(
(
-3
8
)
,
(
-1
6
)
)
(v)
(
(
-1
8
)
,
(
-1
6
)
)
Question
13
13.
9
men and
8
women can do a piece of work in
4
days.
2
men and
3
women can do the same work in
16
days.
In how many days can
4
men and
2
women complete the same work?
(i)
9
7
9
days
(ii)
9
5
9
days
(iii)
10
days
(iv)
9
7
11
days
Question
14
14.
Solve
(
−
x
−
5
y
−
2
)
=
(
3
x
−
y
−
4
)
(
−
5
x
+
4
y
)
=
(
5
x
+
2
y
+
4
)
(i)
(
1
4
,
1
4
)
(ii)
(
(
-1
6
)
,
3
2
)
(iii)
(
(
-1
6
)
,
3
4
)
(iv)
(
1
4
,
3
2
)
(v)
(
(
-1
4
)
,
3
4
)
Question
15
15.
Solve the following pair of equations :
−
7
(
3
x
+
y
)
−
5
(
3
x
−
y
)
=
(
−
32
)
3
(
3
x
+
y
)
−
8
(
3
x
−
y
)
=
(
−
37
)
(i)
(
1
7
,
2
5
)
(ii)
(
1
5
,
0
)
(iii)
(
1
5
,
2
3
)
(iv)
(
3
5
,
2
5
)
(v)
(
1
5
,
2
5
)
Question
16
16.
A motor boat can travel at a speed of 21.38 m/sec downstream and 8.90 m/sec upstream. How much time will it take to cross a distance of 301.29 m in still water?
(i)
17.90 sec
(ii)
21.90 sec
(iii)
18.90 sec
(iv)
19.90 sec
(v)
20.90 sec
Question
17
17.
Solve the following pair of equations :
2
x
−
3
y
=
(
−
6
)
−
8
x
−
5
y
=
(
−
44
)
(i)
(
5
,
1
4
)
(ii)
(
3
,
1
4
)
(iii)
(
4
,
1
4
)
(iv)
(
3
,
1
2
)
(v)
(
3
,
(
-1
4
)
)
Question
18
18.
A motor boat can travel at a speed of 48.23 m/sec downstream and 10.37 m/sec upstream. What is the speed of the stream?
(i)
19.93 m/sec
(ii)
17.93 m/sec
(iii)
16.93 m/sec
(iv)
18.93 m/sec
(v)
20.93 m/sec
Question
19
19.
Solve the following pair of equations :
(
5
x
−
15
y
)
=
85
x
y
(
−
7
x
−
4
y
)
=
(
−
44
x
y
)
(i)
(
-1
,
1
8
)
(ii)
(
(
-1
3
)
,
1
8
)
(iii)
(
(
-1
3
)
,
(
-1
8
)
)
(iv)
(
(
-1
3
)
,
1
6
)
Question
20
20.
Solve the following pair of equations :
10
(
4
x
+
y
)
−
8
(
4
x
−
y
)
=
(
−
34
)
−
1
(
4
x
+
y
)
−
14
(
4
x
−
y
)
=
107
(i)
(
(
-2
65
)
,
1
63
)
(ii)
(
(
-2
63
)
,
1
63
)
(iii)
(
(
-2
63
)
,
(
-1
63
)
)
(iv)
(
(
-2
63
)
,
1
61
)
(v)
(
0
,
1
63
)
Question
21
21.
A motor boat can travel at a speed of 18.88 m/sec downstream and 5.64 m/sec upstream. How much distance can the boat travel in 41.38 sec in still water?
(i)
507.32 m
(ii)
506.32 m
(iii)
508.32 m
(iv)
505.32 m
(v)
509.32 m
Question
22
22.
Solve
(
−
3
x
+
4
y
−
3
)
=
(
x
−
4
y
+
4
)
(
x
+
2
y
+
1
)
=
(
−
2
x
−
2
y
−
2
)
(i)
(
(
-11
10
)
,
7
40
)
(ii)
(
(
-11
10
)
,
9
38
)
(iii)
(
(
-5
4
)
,
9
40
)
(iv)
(
(
-5
4
)
,
9
38
)
(v)
(
(
-13
10
)
,
9
40
)
Question
23
23.
A motor boat can travel at a speed of 17.63 m/sec downstream and 6.79 m/sec upstream. What is the speed of the stream?
(i)
7.42 m/sec
(ii)
5.42 m/sec
(iii)
3.42 m/sec
(iv)
4.42 m/sec
(v)
6.42 m/sec
Question
24
24.
Solve the following pair of equations :
−
3
(
x
+
7
)
−
7
(
y
−
4
)
=
(
−
32
)
−
9
(
x
+
7
)
−
2
(
y
−
4
)
=
(
−
1
)
(i)
(
-8
,
-1
)
(ii)
(
-8
,
-3
)
(iii)
(
1
,
21
5
)
(iv)
(
3
,
21
5
)
(v)
(
-8
,
21
5
)
Question
25
25.
A motor boat can travel at a speed of 16.57 m/sec downstream and 4.73 m/sec upstream. How much distance can the boat travel in 44.36 sec in still water?
(i)
473.43 m
(ii)
471.43 m
(iii)
472.43 m
(iv)
474.43 m
(v)
470.43 m
Assignment Key
1) (v)
2) (ii)
3) (iv)
4) (v)
5) (iii)
6) (iii)
7) (iii)
8) (i)
9) (iv)
10) (ii)
11) (iii)
12) (v)
13) (i)
14) (v)
15) (v)
16) (iv)
17) (ii)
18) (iv)
19) (ii)
20) (ii)
21) (i)
22) (v)
23) (ii)
24) (v)
25) (iii)
