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Byju's Answer
Standard IX
Mathematics
Solution of Linear Equation in 2 Variables
iv x+y 4-x-y ...
Question
(iv)
x
+
y
4
-
x
-
y
3
=
1
;
x
+
y
2
+
x
-
y
6
=
12
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Solution
(
iv
)
x
+
y
4
-
x
-
y
3
=
1
⇒
3
x
+
3
y
-
4
x
+
4
y
12
=
1
⇒
-
x
+
7
y
12
=
1
⇒
-
x
+
7
y
=
12
.
.
.
(
1
)
x
+
y
2
+
x
-
y
6
=
12
⇒
3
x
+
3
y
+
x
-
y
6
=
12
⇒
4
x
+
2
y
6
=
12
⇒
4
x
+
2
y
=
72
.
.
.
(
2
)
Multiplying
(
1
)
by
4
,
we get:
-
4
x
+
28
y
=
48
.
.
.
(
3
)
Adding
eq
(
2
)
and
(
3
)
,
we
get
:
4
x
+
2
y
=
72
-
4
x
+
28
y
=
48
30
y
=
120
∴
y
=
4
Substituting
y
=
4
in
equation
(
1
)
,
we get:
-
x
+
7
×
4
=
12
⇒
-
x
+
28
=
12
⇒
x
=
16
∴
x
=
16
,
y
=
4
is
the
solution
of
the
given
equation
.
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0
Similar questions
Q.
Find the value of
(
x
+
y
)
(
x
−
y
)
(
x
2
+
y
2
) when
x
=
3
and
y
=
2
Q.
The simplified form of the expression given below is :
y
4
−
x
4
x
(
x
+
y
)
−
y
3
x
y
2
−
x
y
+
x
2
Q.
Simplify each of the following expressions:
(i)
(
x
+
y
+
z
)
2
+
x
+
y
2
+
z
3
2
-
x
2
+
y
3
+
z
4
2
(ii) (x + y− 2z)
2
− x
2
− y
2
− 3z
2
+ 4xy
(iii) (x
2
− x + 1)
2
− (x
2
+ x + 1)
2