A system of three linear equations in three variables is consistent and independent. How many solutions to the system exist?

~none

~one

~three

~infinite

Question

Tucker Snyder

Mathematics

7 March, 16:25

A system of three linear equations in three variables is consistent and independent. How many solutions to the system exist?

~none

~one

~three

~infinite

+5

Answers (1)

Know the Answer?

Beltran · Answer 1

I believe the correct answer is the second option. A system having three linear equations which has 3 variables, consistent and independent will only have one solution. A consistent would have at least one solution. An independent one would have exactly one.

A system of three linear equations in three variables is consistent and independent. How many solutions to the system exist?~none~one~three~infinite

A system of three linear equations in three variables is consistent and independent. How many solutions to the system exist?

~none

~one

~three

~infinite