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Byju's Answer
Standard IX
Mathematics
Addition of Polynomials
iii 9 x+11 y=...
Question
(iii) 9x + 11y = 78; 11x + 9y = 82
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Solution
9
x
+
11
y
=
78
.
.
.
.
(
i
)
11
x
+
9
y
=
82
.
.
.
.
(
ii
)
Adding
eq
(
i
)
and
(
ii
)
,
we get
:
9
x
+
11
y
=
78
+
11
x
+
9
y
=
82
20
x
+
20
y
=
160
∴
20
x
+
y
=
160
⇒
x
+
y
=
8
Subtracting
eq
(
ii
)
from
(
i
)
,
we get
:
9
x
+
11
y
=
78
11
x
+
9
y
=
82
-
-
-
-
2
x
+
2
y
=
-
4
∴
-
2
x
-
y
=
-
4
⇒
x
-
y
=
2
∴
x
+
y
=
8
,
x
-
y
=
2
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0
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