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?

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 equation is consistent.
Here, the lines of the given linear equations intersect at a single point (-2, 3.5) giving a unique solution and making it a consistent pair of linear equations.

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Similar questions

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:

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;

The lines that represent these two equations $x + 2 y = 5$ and $4 x + 4 y - 6 = 0$ meet at only one point (-2, 3.5). The pair of equations is

Question 1
Graphically, the pair of equations
6x – 3y + 10 = 0
x – y + 9 = 0
Represents two lines which are
(A) intersecting at exactly one point.
(B) intersecting at exactly two points.
(C) coincident.
(D) parallel.

Q. Represent the following pair of equations graphically and write the coordinates of points where the line intersects

y

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x + 3 y = 6

2 x - 3 y = 12

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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?

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

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?

The correct option is C
Consistent

If the lines intersect at a point, the pair of equation is consistent.
Here, the lines of the given linear equations intersect at a single point (-2, 3.5) giving a unique solution and making it a consistent pair of linear equations.