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Byju's Answer
Standard X
Mathematics
Method of Substitution to Find the Solution of a Pair of Linear Equations
Solve the fol...
Question
Solve the following pair of equations:
3
x
−
y
=
23
x
3
+
y
4
=
4
A
x
=
−
4
;
y
=
1
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B
x
=
−
1
;
y
=
7
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C
x
=
9
;
y
=
4
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D
x
=
7
;
y
=
13
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Solution
The correct option is
C
x
=
9
;
y
=
4
We pick either of the equations and write one variable in terms of the other.
Let us consider the equation
3
x
−
y
=
23
and write it as
y
=
3
x
−
23...........
(
1
)
Substitute the value of
y
in Equation
x
3
+
y
4
=
4
or
4
x
+
3
y
=
48
. We get
4
x
+
3
(
3
x
−
23
)
=
48
i.e.
4
x
+
9
x
−
69
=
48
i.e.
13
x
=
117
i.e.
x
=
9
Therefore,
x
=
−
9
Substituting this value of
x
in
equation
1
, we get
y
=
27
−
23
i.e.
y
=
4
Hence, the solution is
x
=
9
,
y
=
4
.
Suggest Corrections
0
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