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Question

x+2y=5 and 4x+4y6=0 are two linear eqations whose graphical lines meet at points at points (-2, 3.5); the pair of equations is;

A
Inconsistent
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B
Dependent
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C
Consistent
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D
Both A and B
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Solution

The correct option is C Consistent
If the lines intersect at a point, the pair of equations is consistent. Here the lines of the given linear equations are meeting at (-2, 3.5) giving a unique solution which is a consistent pair of linear equation.

(Additional Information Parallel Lines are inconsistent , overlapping lines are dependent)

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