Types of Systems of Linear Equations

It refers to the set of two or more linear equations that have variables in common.

• System of Linear Equations

• System of Linear Inequalities

• System of Quadratic Equations

• System of Trigonometric Equations

Which of the following may represent the graph of a linear equation in two variables?

• Coinciding lines

• Intersecting lines

• Parallel lines

• All of these

If the graph of a system of linear equations appear as coinciding lines, then it is called a __________.

• Dependent system

• Independent system

• Consistent system

• Inconsistent system

It is a system of linear equations in two variables with no solution.

• Consistent

• Dependent

• Inconsistent

• Independent

How many solutions does the system of linear equations shown have?

• 0

• 1

• 2

• Infinite

How many solutions does the system containing 2x + y = 3 and 4x + 2y = 0 have?

• 0

• 1

• 2

• Infinite

How many solutions does the system containing x + 2y = 4 and 2x + 4y = 8 have?

• 0

• 1

• 2

• Infinite

The system x + y = 8 and x – y = 4 has infinitely many solutions.

• True

• False

What is the slope-intercept form of the equation

6x – 3y = 12

The graph shown represents what type of a system?

• Consistent

• Inconsistent

• Independent

• Dependent