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Byju's Answer
Standard IX
Mathematics
Solution of Linear Equation in 2 Variables
33 x+32 y=34 ...
Question
33x + 32y = 34; 32x + 33y
-
31
Open in App
Solution
33
x
+
32
y
=
34
.
.
.
(
i
)
32
x
+
33
y
=
31
.
.
.
(
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
:
33
x
+
32
y
=
34
32
x
+
33
y
=
31
65
x
+
65
y
=
65
∴
65
x
+
y
=
65
∴
x
+
y
=
1
.
.
.
(
iii
)
Subtracting
eq
(ii)
from
(i), we get
:
33
x
+
32
y
=
34
32
x
+
33
y
=
31
-
-
-
x
-
y
=
3
.
.
.
(
iv
)
From
(
iii
)
and
(
iv
)
we
get
:
x
+
y
=
1
and
x
-
y
=
3
Adding
(
iii
)
and
(
iv
)
we
get
:
x
+
y
=
1
x
-
y
=
3
2
x
=
4
∴
x
=
2
Substituting
x
=
2
in
eq
(
iii
)
,
we
get
:
2
+
y
=
1
∴
y
=
-
1
Hence
,
x
=
2
and
y
=
-
1
is
the
solution
of
the
given
equations
.
Suggest Corrections
1
Similar questions
Q.
Solve the following simultaneous linear equations:
33
x
+
32
y
=
34
;
32
x
+
33
y
=
31
Q.
The values of x and y satisfying the two equations
32
x
+
33
y
=
31
,
33
x
+
32
y
=
34
respectively will be
Q.
The values of x and y satisfying the two equation
32
x
+
33
y
=
31
,
33
x
+
32
y
=
34
respectively will be
Q.
If
33
x
+
12
y
=
123
and
12
x
+
33
y
=
102
, then find the value of
x
+
y
.
Q.
Solve the system of equations
65
x
−
33
y
=
97
,
and
33
x
−
65
y
=
1
by
substitution
method.
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