x + 2y = 5 and 4x + 4y - 6 = 0 are two linear equations whose graphical lines meet at a point (-2, 3.5). The pair of equations is _____________ .

Inconsistent

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Dependent

No worries! We‘ve got your back. Try BYJU‘S free classes today!

consistent

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Both A and B

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

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 intersecting at (-2, 3.5) giving a unique solution

Therefore, the pair of equations is consistent.

Suggest Corrections

Similar questions

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

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 $(- 3, \frac{5}{3})$

Q. Which of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically:

(i)

x + y = 5, 2 x + 2 y = 10

(ii)

x - y = 8, 3 x - 3 y = 16

(iii)

2 x + y - 6 = 0, 4 x - 2 y - 4 = 0

(iv)

2 x - 2 y - 2 = 0, 4 x - 4 y - 5 = 0

Join BYJU'S Learning Program

x + 2y = 5 and 4x + 4y - 6 = 0 are two linear equations whose graphical lines meet at a point (-2, 3.5). The pair of equations is _____________ .

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 intersecting at (-2, 3.5) giving a unique solution Therefore, the pair of equations is consistent.

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 intersecting at (-2, 3.5) giving a unique solution

Therefore, the pair of equations is consistent.