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Byju's Answer
Standard X
Mathematics
Substitution Method to Find the Solution of Pair of Linear Equations
Solve: x-2y=0...
Question
Solve:
x
−
2
y
=
0
a
n
d
3
x
−
y
=
5
A
x
=
2
,
y
=
2
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B
x
=
2
,
y
=
1
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C
x
=
2
,
y
=
4
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D
x
=
1
,
y
=
2
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Solution
The correct option is
B
x
=
2
,
y
=
1
Given,
x
−
2
y
=
0...
(
1
)
3
x
−
y
=
5...
(
2
)
From (1),
x
=
2
y
Substituting this value of
x
in (2),
3
(
2
y
)
−
y
=
5
⟹
5
y
=
5
⟹
y
=
1
Now,
x
=
2
y
⟹
x
=
2
×
1
=
2
Suggest Corrections
0
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Solve:
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x
-
y
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2
and
9
x
+
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x
-
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1
.
Q.
Solve the following simultaneous equations graphically.
(1) 2x + 3y = 12 ; x – y = 1
(2) x – 3y = 1 ; 3x – 2y + 4 = 0
(3) 5x – 6y + 30 = 0 ; 5x + 4y – 20 = 0
(4) 3x – y – 2 = 0 ; 2x + y = 8
(5) 3x + y = 10 ; x – y = 2