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Byju's Answer
Standard X
Mathematics
Equations Reducible to a Pair of Linear Equations in Two Variables
Solve: 3 2x...
Question
Solve:
3
(
2
x
+
y
)
=
7
x
y
and
3
(
x
+
3
y
)
=
11
x
y
;
where,
x
≠
0
,
y
≠
0
A
x
=
3
;
y
=
1
2
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B
x
=
1
;
y
=
3
2
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C
x
=
4
;
y
=
2
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D
x
=
3
;
y
=
4
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Solution
The correct option is
C
x
=
1
;
y
=
3
2
Dividing both the equations by xy, we get:
3
x
+
6
y
=
7
;
3
y
+
9
x
=
11
Multiplying the 2nd equation by -2 and Adding
−
15
x
=
−
15
;
y
=
3
2
a
n
d
x
=
1
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0
Similar questions
Q.
Solve:
3
(
2
x
+
y
)
=
7
x
y
,
x
≠
0
,
y
≠
0
3
(
x
+
3
y
)
=
11
x
y
Q.
Solve:
2
x
+
3
3
y
=
1
6
and
3
x
+
2
y
=
0
, where
x
≠
0
;
y
≠
0
.
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