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Byju's Answer
Standard VIII
Mathematics
Solving Linear Equations Using Transpose of Terms
Solve: 2x+1...
Question
Solve:
2
x
+
1
10
−
3
−
2
x
15
=
x
−
2
6
. Hence, find y, if
1
x
+
1
y
+
1
=
0
.
A
x
=
13
4
;
y
=
−
4
3
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B
x
=
−
7
8
;
y
=
6
5
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C
x
=
−
4
7
;
y
=
1
2
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D
x
=
−
7
5
;
y
=
−
7
2
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Solution
The correct option is
C
x
=
−
7
5
;
y
=
−
7
2
3
(
2
x
+
1
)
−
2
(
3
−
2
x
)
=
5
(
x
−
2
)
10
x
−
3
=
5
x
−
10
x
=
−
7
5
1
x
+
1
y
+
1
=
0
y
=
−
7
2
Suggest Corrections
2
Similar questions
Q.
Solve the following equations.
(1) 17p − 2 = 49
(2) 2m + 7 = 9
(3) 3x + 12 = 2x − 4
(4) 5(x − 3) = 3(x + 2)
(5)
9
x
8
+ 1 = 10
(6)
y
7
+
y
-
4
3
= 2
(7) 13x − 5 =
3
2
(8) 3(y + 8) = 10(y − 4) + 8
(9)
x
-
9
x
-
5
=
5
7
(10)
y
-
4
3
+ 3y = 4
(11)
b
+
(
b
+
1
)
+
(
b
+
2
)
4
= 21
Q.
Solve the following simultaneous equations.
(1) 3a + 5b = 26; a + 5b = 22
(2) x + 7y = 10; 3x – 2y = 7
(3) 2x – 3y = 9; 2x + y = 13
(4) 5m – 3n = 19; m – 6n = –7
(5) 5x + 2y = –3; x + 5y = 4
(6)
1
3
x
+
y
=
10
3
;
2
x
+
1
4
y
=
11
4
(7) 99x + 101y = 499; 101x + 99y = 501
(8) 49x – 57y = 172; 57x – 49y = 252
Q.
Solve the following simultaneous equations.
(1)
2
x
+
2
3
y
=
1
6
;
3
x
+
2
y
=
0
(2)
7
2
x
+
1
+
13
y
+
2
=
27
;
13
2
x
+
1
+
7
y
+
2
=
33
(3)
148
x
+
231
y
=
527
x
y
;
231
x
+
148
y
=
610
x
y
(4)
7
x
-
2
y
x
y
=
5
;
8
x
+
7
y
x
y
=
15
(5)
1
2
3
x
+
4
y
+
1
5
2
x
-
3
y
=
1
4
;
5
3
x
+
4
y
-
2
2
x
-
3
y
=
-
3
2
Q.
Solve the following simultaneous equations graphically.
(1)
x
+
y
= 6 ;
x
–
y
= 4
(2)
x
+
y
= 5 ;
x
–
y
= 3
(3)
x
+
y
= 0 ; 2
x
–
y
= 9
(4) 3
x
–
y
= 2 ; 2
x
–
y
= 3
(5) 3
x
– 4
y
= –7 ; 5
x
– 2
y
= 0
(6) 2
x
– 3
y
= 4 ; 3
y
–
x
= 4