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Standard X
Mathematics
Elimination Method of Finding Solution of a Pair of Linear Equations
The values of...
Question
The values of x and y satisfying the two equations
32
x
+
33
y
=
31
,
33
x
+
32
y
=
34
respectively will be
A
−
1
,
2
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B
2
,
−
1
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C
0
,
0
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D
2
,
3
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Solution
The correct option is
B
2
,
−
1
Multiplying
32
x
+
33
y
=
31
with
33
, we get
1056
x
+
1089
y
=
1023
---- (1)
Multiplying
33
x
+
32
y
=
34
with
32
, we get
1056
x
+
1024
y
=
1088
---- (2)
Subtracting (2) from (1),
1056
x
+
1089
y
−
1056
x
−
1024
y
=
1023
−
1088
65
y
=
−
65
y
=
−
1
Substituting
y
=
−
1
in
32
x
+
33
y
=
31
, we get $ 32x - 33 = 31
32
x
=
64
x
=
2
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0
Similar questions
Q.
The values of x and y satisfying the two equation
32
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y
=
31
,
33
x
+
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=
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respectively will be
Q.
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