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Byju's Answer
Standard IX
Mathematics
Framing Algebraic Equations
ix 5 x+6 y=7 ...
Question
(ix) 5x + 6y = 7x + 3y = 3 (x + 6y − 6)
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Solution
5
x
+
6
y
=
7
x
+
3
y
=
3
x
+
6
y
-
6
⇒
5
x
+
6
y
=
7
x
+
3
y
⇒
-
2
x
+
3
y
=
0
.
.
.
(
i
)
7
x
+
3
y
=
3
x
+
6
y
-
6
⇒
7
x
+
3
y
=
3
x
+
18
y
-
18
⇒
4
x
-
15
y
=
-
18
.
.
.
(
ii
)
Multiplying
eq
(
i
)
by
2
,
we
get
:
-
4
x
+
6
y
=
0
.
.
.
(
iii
)
Adding
eq
(
ii
)
and
(
iii
)
,
we get:
4
x
-
15
y
=
-
18
-
4
x
+
6
y
=
0
-
9
y
=
-
18
∴
y
=
2
Substituting
y
=
2
in
(
i
)
,
we
get
:
⇒
-
2
x
+
3
×
2
=
0
⇒
-
2
x
=
-
6
∴
x
=
3
Hence
,
x
=
3
,
y
=
2
is
the
solution
of
the
given
equations
.
Suggest Corrections
0
Similar questions
Q.
Solve for
x
and
y
.
5
x
+
6
y
=
7
x
+
3
y
=
3
(
x
+
6
y
−
6
)
Q.
If
3
x
−
4
y
2
x
−
3
y
=
5
x
−
6
y
4
x
−
5
y
, find x : y.
Q.
Find the lengths of the tangents drawn to the circle
3
x
2
+
3
y
2
−
7
x
−
6
y
=
12
from the point (6, 7) .
Q.
Add:
5x − 8y + 2z, 3z − 4y − 2x, 6y − z − x and 3x − 2z − 3y
Q.
Solve:
7
x
+
6
y
=
13
2
x
−
3
y
=
−
1
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