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Byju's Answer
Standard VIII
Mathematics
Simultaneous Linear Equations
Check whether...
Question
Check whether system of simultaneous equations
2
x
+
y
=
4
and
y
=
2
x
have unique solution or not?
A
Yes it has unique solution
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B
No, it does not have unique solution
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Solution
The correct option is
A
Yes it has unique solution
On plotting the given simultaneous equations on cartesian plane, we get:
Clearly, both the lines are intersecting at a single point.
So, this system has only one solution or unique solution.
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Similar questions
Q.
Without actually solving the simultaneous equations given below,
decide which simultaneous equations have unique solutions,
no solution or infinitely many solutions.
vi
x
2
+
y
3
=
4
;
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6
=
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Q.
Without actually solving the simultaneous equations given below,
decide which simultaneous equations have unique solutions ,
no solution or infinitely many solutions.
i
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x
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Q.
Without actually solving the simultaneous equations given below, decide whether the system has unique solution, no solution or infinitely many solutions.
x
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+
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3
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Q.
In the following given systems of equations determine whether the system has a unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it
2
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Q.
Determine whether the following system of linear equations have no solution, infinitely many solution or unique solutions.
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