Systems of Linear Equations

A system of equations that has a least one solution is

• Consistent

• inconsistent

• dependent

• independent

Inconsistent system is a system of equations that has

• one solution

• two solutions

• infinitely many solutions.

• has no solution

A system of linear equations is

• three linear equations with the same variables

• two or more linear equations with the same variables

• two or more linear equations with different variables

• one linear equations with one variable

An ordered pair in a system that makes all equations true is

• consistent system

• system of linear equations

• solution of a system to linear equations

• independent system

Tags

CCSS.HSA.REI.C.6

A consistent system that has infinitely many solutions is

• dependent

• consistent

• independent

• inconsistent

A consistent system that has exactly one solution

• inconsistent

• consistent

• dependent

• independent

Substitution is

• a method used to solve linear equations

• A method for solving a system of equations by replacing one variable containing the other variable.

• a method for solving a system of equations by graphing two lines to find a point of intersection

• a method for solving a systems of equations by adding or subtracting the equations to eliminate a variable

If y = 2x + 5 and x + 3y = 7, then x + 3(2x + 5) = 7 is an example of

• solving a system by graphing.

• solving a system by elimination.

• solving a system by substitution.

• solving a system by inverse operations

This is an example of

• solving a system by graphing.

• solving a system by elimination.

• solving a system by substitution.

• solving a system by inverse operations

This is an example of a system of linear equations that are

• consistent and independent

• inconsistent

• inconsistent and independent

• consistent and dependent