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Inconsistent Pair of Linear Equations

How many solu...

Question

How many solutions are possible for the following pair of equation?
2 x + 4 y -12= 0 and x + 2y- 4 =0

A

Infinite solutions

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B

More than one solution

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C

One solution

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D

No solution

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Solution

The correct option is D
No solution

The lines corresponding to the two equations are parallel . In other words , they do not meet at any point therefore there is no solution.

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Inconsistent Pair of Linear Equations

Standard X Mathematics

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