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Byju's Answer
Standard XII
Mathematics
Solving a system of linear equation in two variables
The solution ...
Question
The solution set of the system of equations
2
x
+
y
=
6
and
4
x
+
2
y
=
5
is
A
(
x
,
y
)
/
2
x
+
y
=
6
;
x
,
y
∈
R
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B
(
x
,
y
)
/
2
x
+
y
=
0
;
x
,
y
∈
R
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C
ϕ
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D
i
n
f
i
n
i
t
e
s
e
t
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Solution
The correct option is
C
ϕ
M
u
l
t
i
p
l
y
f
i
r
s
t
e
q
u
a
t
i
o
n
b
y
2
a
n
d
s
u
b
s
t
r
a
c
t
sec
o
n
d
e
q
u
a
t
i
o
n
f
r
o
m
f
i
r
s
t
4
x
+
2
y
=
12
4
x
+
2
y
=
5
−
−
n
o
s
o
l
u
t
i
o
n
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Similar questions
Q.
Solve the following systems of linear inequations graphically:
(i) 2x + 3y ≤ 6, 3x + 2y ≤ 6, x ≥ 0, y ≥ 0
(ii) 2x + 3y ≤ 6, x + 4y ≤ 4, x ≥ 0, y ≥ 0
(iii) x − y ≤ 1, x + 2y ≤ 8, 2x + y ≥ 2, x ≥ 0, y ≥ 0
(iv) x + y ≥ 1, 7x + 9y ≤ 63, x ≤ 6, y ≤ 5, x ≥ 0, y ≥ 0
(v) 2x + 3y ≤ 35, y ≥ 3, x ≥ 2, x ≥ 0, y ≥ 0