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Byju's Answer
Standard VIII
Mathematics
Solution of an Equation
The equations...
Question
The equations
2
x
+
7
=
3
and
b
x
−
10
=
−
2
have the same solution for
x
. What is the value of
b
?
A
−
8
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B
−
4
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C
−
2
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D
4
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Solution
The correct option is
D
−
4
If the equation
2
x
+
7
=
3
and
b
x
−
10
=
−
2
have same solution for
x
Then
2
x
+
7
=
3
⇒
2
x
=
−
4
⇒
x
=
−
2
*(1)
and
b
x
−
10
=
−
2
⇒
b
×
−
2
−
10
=
−
2
from (1)
⇒
−
2
b
=
8
⇒
b
=
−
4
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0
Similar questions
Q.
-5 + bx = 2x + 3(x + 2)
In the above equation, b is a constant. For what value of b does the equation have no solution?
Q.
For what value of
a
and
b
, the following system of equations have an infinite number of solutions.
2
x
+
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y
=
7
;
(
a
−
b
)
x
+
(
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+
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)
y
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+
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−
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Q.
For what values of a and b does the following pair of linear equations have infinite number of solution ?
2
x
+
3
y
=
7
,
a
(
x
+
y
)
−
b
(
x
−
y
)
=
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a
+
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−
2
Q.
The equations 2x+5= x+8 and 7x+7=6x+10 have same solution.
Q.
Find the value of p
for which the given simultaneous equations have unique solution :
ii
8
x
-
p
y
+
7
=
0
;
4
x
-
2
y
+
3
=
0
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