Question

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

• A. dependent
• B. consistent
• C. inconsistent
• D. (a) and (b) above.

Answer 1

The correct option is B

consistent

A pair of linear equations in two variables which has a solution, is said to be consistent.

Here the lines representing the given linear equations are meeting only at point (-2, 3.5) giving a unique solution. Therefore, it is a consistent pair of linear equations.

Now, a pair of linear equations in two variables is said to be dependent when the lines representing them are coinciding i.e. will have many solutions.

Here, the lines have only one solution (-2, 3.5). Therefore, they aren't dependent.