Chapter 6.1, Problem 4STP

For Exercises $1-4,$ choose the correct letter.

Which cannot describe a system of linear equations?

F. no solution

H. infinite solutions

G. exactly two solutions

I. exactly one solution

To determine

To identify correct answer: Describe a system of linear equations.

Answer to Problem 4STP

Option G. exactly two solution, cannot describe a system of linear equations.

Explanation of Solution

System of any linear equations can have no solution, exactly one solution and infinite solution but it cannot have exactly 2 solutions. System of any linear equations cannot have exactly 2 solutions because two lines will meet at simple point.

Therefore, equality cannot have two solutions.

Therefore,Option G. exactly two solution, cannot describe a system oflinear equations.