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Byju's Answer
Standard IX
Mathematics
Linear Equation in 2 Variables
Verify that ...
Question
Verify that
x
=
2
,
y
=
−
1
,
is a solution of the linear equation
7
x
+
3
y
=
11
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Solution
W
e
h
a
v
e
7
x
+
3
y
=
11
N
o
w
p
u
t
x
=
2
a
n
d
y
=
−
1
7
(
2
)
+
3
(
−
1
)
=
14
−
3
=
11
H
e
n
c
e
,
L
.
H
.
S
=
R
.
H
.
S
S
o
,
x
=
2
,
a
n
d
y
=
−
1
i
s
a
s
o
l
u
l
t
i
o
n
o
f
t
h
e
l
i
n
e
a
r
e
q
u
a
t
i
o
n
7
x
+
3
y
=
11.
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0
Similar questions
Q.
Show that
x
=
2
,
y
=
1
is not a solution of the system of simultaneous linear equations.
2
x
+
7
y
=
11
x
−
3
y
=
5
Q.
Verify that
x
=
2
is a solution of the linear equation
2
x
+
7
=
13
−
x
.
Q.
Draw the graph of the linear equation
x
+
y
=
7
Verify from the graph that
(
8
,
−
1
)
is a solution of the given equation.
Q.
The solution of the pair of linear equations
x
+
2
y
=
5
and
7
x
+
3
y
=
13
is (2, 1).
Q.
Verify that y = − x − 1 is a solution of the differential equation (y − x) dy − (y
2
− x
2
) dx = 0.
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