Chapter 4: Systems of Linear Equations

Question 1

The set of all such ordered pairs is called the _______ for the system.

Answer 1

solution set

Question 2

To solve a system is to
find its ______

Answer 2

solution set

Question 3

the graph of a line is a graph of all the _______that satisfy the equation of the
line.

Answer 3

ordered pairs

Question 4

A system of linear equations is _______ if it has one or more solutions and inconsistent if no
solutions exist.

Answer 4

consistent

Question 5

a consistent system is said to be _________ if it has exactly one solution (often referred to as the unique solution) and ________ if it has more than one
solution.

Answer 5

independent; dependent

Question 6

Two systems of equations are ________ if they have the same solution set.

Answer 6

equivalent

Question 7

If the linear system has Exactly one solution

Answer 7

Consistent and independent

Question 8

If the linear system has No solution

Answer 8

Inconsistent

Question 9

If the linear system has Infinitely many solutions.

Answer 9

Consistent and dependent

Question 10

In this method, first we choose one of two equations in a system and solve for one variable
in terms of the other.

Answer 10

Substitution

Question 11

It readily generalizes to larger systems
and forms the basis for computer-based solution methods.

Answer 11

elimination by addition

Question 12

A system of linear equations is transformed into an equivalent system if Two equations are _________

Answer 12

interchanged

Question 13

A system of linear equations is transformed into an equivalent system if An equation is multiplied by a ______ constant

Answer 13

nonzero

Question 14

A system of linear equations is transformed into an equivalent system if a __________ of one equation is added to another equation.

Answer 14

constant multiple