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Byju's Answer
Standard X
Mathematics
Elimination Method of Finding Solution of a Pair of Linear Equations
Solve 16 y 2-...
Question
Solve
16
y
2
-
20
y
+
9
8
y
2
+
12
y
+
21
=
4
y
-
5
2
y
+
3
Open in App
Solution
Let
:
16
y
2
-
20
y
+
9
8
y
2
+
12
y
+
21
=
4
y
-
5
2
y
+
3
=
k
(
x
≠
0
)
If
we
multiply
both
the
terms
of
the
second
ratio
by
4
y
,
we
would
obtain
the
first
two
terms
in
each
of
the
antecedents
and
consequents
of
the
first
ratio
.
Now
,
on
multiplying
both
the
terms
of
the
second
ratio
by
4
y
,
we
get
:
16
y
2
-
20
y
+
9
8
y
2
+
12
y
+
21
=
4
y
4
y
-
5
4
y
2
y
+
3
=
k
By
the
theorem
on
equal
ratios
,
we
get
:
16
y
2
-
20
y
+
9
-
4
y
4
y
-
5
8
y
2
+
12
y
+
21
-
4
y
2
y
+
3
=
k
⇒
16
y
2
-
20
y
+
9
-
16
y
2
+
20
y
8
y
2
+
12
y
+
21
-
8
y
2
-
12
y
=
k
⇒
9
21
=
k
Now
,
4
y
-
5
2
y
+
3
=
9
21
⇒
84
y
-
105
=
18
y
+
27
⇒
66
y
=
132
⇒
y
=
2
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0
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Q.
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Elimination Method of Finding Solution of a Pair of Linear Equations
Standard X Mathematics
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