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Byju's Answer
Standard IX
Mathematics
Addition and Subtraction of Algebraic Equations
ii 6 x+5 y=7 ...
Question
(ii) 6x + 5y = 7x + 3y + 1 = 2x + 12y − 2
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Solution
6
x
+
5
y
=
7
x
+
3
y
+
1
=
2
x
+
12
y
-
2
We
have
6
x
+
5
y
=
7
x
+
3
y
+
1
⇒
-
x
+
2
y
=
1
∴
x
=
2
y
-
1
.
.
.
(
i
)
Also
,
6
x
+
5
y
=
2
x
+
12
y
-
2
4
x
-
7
y
=
-
2
.
.
.
(
ii
)
Substituting
eq.
(
i
)
in
(
ii
)
,
we
get
:
4
×
2
y
-
1
-
7
y
=
-
2
⇒
8
y
-
4
-
7
y
=
-
2
⇒
y
=
2
Substituting
y
=
2
in
eq
(
i
)
,
we
get
:
x
=
2
×
2
-
1
∴
x
=
3
Hence
,
x
=
3
,
y
=
2
is
the
solution
of
the
given
equations
.
Suggest Corrections
0
Similar questions
Q.
Solve the following pair of equations:
6
x
+
5
y
=
7
x
+
3
y
+
1
=
2
x
+
12
y
−
2
Q.
6
x
+
5
y
=
7
x
+
3
y
+
1
=
2
x
+
6
y
-
1
Q.
Solve for x and y:
6
x
+
5
y
=
7
x
+
3
y
+
1
=
2
(
x
+
6
y
−
1
)
Q.
Simplify :
(i)
(
5
x
−
9
y
)
−
(
−
7
x
+
y
)
(ii)
[
7
−
2
x
+
5
y
−
(
x
−
y
)
]
−
(
5
x
+
3
y
−
7
)
Q.
Match the column
(
1
)
2
x
+
3
y
=
40
6
x
+
5
y
=
10
(
a
)
Coincident lines
(
2
)
2
x
+
3
y
=
40
6
x
+
9
y
=
50
(
b
)
Intersecting lines
(
3
)
2
x
+
3
y
=
10
4
x
+
6
y
=
20
(
c
)
Parallel lines
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