Question

How many solutions does consistent and dependent system of linear equations in two variables have?
0
1
2
INFINITE

Answer 1

Answer:

Also recall that each of these possibilities corresponds to a type of system of linear equations in two variables. An independent system of equations has exactly one solution (x,y) . An inconsistent system has no solution, and a dependent system has an infinite number of solutions.

Answer 2

Answer:

A consistent and the dependent system of linear equations in two variables have infinite number of solutions.

Step-by-step explanation:

If a system of linear equations is consistent then the number of solutions can either one or infinite.

Two case arises:-

Case1. If lines are independent. Then,

The system of linear equations in two variables has exactly one solution.

Case2. If lines are dependent. Then,

The system of linear equations in two variables has infinite of solutions.

Therefore, a consistent and the dependent system of linear equations in two variables have infinite number of solutions.

Thus, option (d) is correct.

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