Question

give reason for a statement"a dependent pair of linear equation is consistent??​

Answer 1

The dependent pair of linear equations is always consistent.

Step-by-step explanation:

We can graphically represent a pair of linear equations as two lines.

Also, lines may intersect, or may be parallel, or may coincide.

Such a pair is called a dependent pair of linear equations in two variables. Hence, the dependent pair of linear equations is always consistent.

Answer 2

Answer:

If there are only two equations in a linearly dependent system, then essentially there is only one equation, as the other is a constant multiple of the first equation. And a single equation in one or more variables always has a solution unless the coefficients are all 0. If the number of unknowns is more than 1, we can express all but one of the unknowns in terms of values of one of the unknowns.