$x + 2 y = 5$ and $4 x + 4 y - 6 = 0$ are two linear eqations whose graphical lines meet at points at points (-2, 3.5); the pair of equations is;

Inconsistent

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Dependent

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Consistent

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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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x + 2y = 5 and 4x + 4y - 6 = 0 are two linear equations whose graphical lines meets at points (-2, 3.5); the pair of equations is:

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The pair of linear equations: x + 2y = 5 and 4x + 4y - 6 = 0 intersect at points (-2, 3.5) when represented graphically.
What can you say about the pair of equations?

x + 2y = 5 and 4x + 4y - 6 = 0 are equations of two lines which intersect at $(- 3, \frac{5}{3})$

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x+2y=5 and 4x+4y−6=0 are two linear eqations whose graphical lines meet at points at points (-2, 3.5); the pair of equations is;

$x + 2 y = 5$ and $4 x + 4 y - 6 = 0$ are two linear eqations whose graphical lines meet at points at points (-2, 3.5); the pair of equations is;