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Byju's Answer
Standard X
Mathematics
Equations Reducible to a Pair of Linear Equations in Two Variables
Solve the fol...
Question
Solve the following simultaneous equations :
i
1
x
+
1
y
=
8
;
4
x
-
2
y
=
2
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Solution
1
x
+
1
y
=
8
-
-
-
-
-
-
-
1
4
x
-
2
y
=
2
-
-
-
-
-
-
-
2
Substituting
1
x
=
m
and
1
y
=
n
in
the
above
equations
,
we
get
:
m
+
n
=
8
-
-
-
-
-
-
-
-
3
4
m
-
2
n
=
2
-
-
-
-
-
-
-
-
4
Multiplying
equation
3
by
2
,
we
get
:
2
m
+
2
n
=
16
-
-
-
-
-
-
-
5
Adding
equation
4
and
5
,
we
get
:
4
m
-
2
n
=
2
2
m
+
2
n
=
16
6
m
=
18
⇒
m
=
18
6
=
3
Substituting
m
=
3
in
equation
3
,
we
get
:
n
=
5
Resubstituting
the
values
of
m
and
n
,
we
get
:
1
x
=
3
and
1
y
=
5
∴
x
=
1
3
and
y
=
1
5
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