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Byju's Answer
Standard IX
Mathematics
Solution of Linear Equation in 2 Variables
32 x+23 y=131...
Question
3
2
x
+
2
3
y
=
13
1
3
;
2
3
x
+
3
2
y
=
8
1
3
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Solution
3
2
x
+
2
3
y
=
13
1
3
⇒
9
x
+
4
y
6
=
40
3
⇒
9
x
+
4
y
=
80
.
.
.
(
i
)
2
3
x
+
3
2
y
=
8
1
3
⇒
4
x
+
9
y
6
=
25
3
⇒
4
x
+
9
y
=
50
.
.
.
(
ii
)
Here
,
we
observe
that
the
coefficients
of
x
and
y
in
the
first
equation
are
interchanged
in
the
second
equation
.
Adding
these
two
equations
,
we get
:
9
x
+
4
y
=
80
4
x
+
9
y
=
50
13
x
+
13
y
=
130
∴
x
+
y
=
10
.
.
.
(
iii
)
Subtracting
eq
(
ii
)
from
(
i
)
,
we get:
9
x
+
4
y
=
80
4
x
+
9
y
=
50
-
-
-
5
x
-
5
y
=
30
.
.
.
(
iv
)
∴
x
-
y
=
6
From
(
iii
)
&
(
iv
)
,
we
get
:
x
+
y
=
10
and
x
-
y
=
6
Adding
(
iii
)
and
(
iv
)
,
we
get
:
x
+
y
=
10
x
-
y
=
6
2
x
=
16
∴
x
=
8
Substituting
x
=
8
in
eq
(
iii
)
,
we
get
:
8
+
y
=
10
∴
y
=
2
Hence
,
x
=
8
and
y
=
2
is
the
solution
of
the
given
equations
.
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0
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Q.
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then find the value of
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Q.
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