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Question

How many solutions does the given system of equations has/have?

3x+4y=25
15x+20y=35

A
A unique solution.
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B
Infinitely many solutions
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C
No solution
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D
None of the above
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Solution

The correct option is C No solution
For a given pair of equations,

a1x+b1y=c1
a2x+b2y=c2

If a1a2=b1b2c1c2,
then, the system of equations have no solution.

Here,
315=4202535

So, the system of equations have no solution.

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