Kinds of Systems of Linear Equations

It refers to two or more linear equations involving two unknowns

• System of Linear Inequalities

• Linear Equation

• System of Linear Equation

• Linear Inequalities

A system that has an infinite number or solutions

• Independent-consistent

• Dependent-consistent

• Inconsistent

A system that has exactly one solution

• Independent-consistent

• Dependent-consistent

• Inconsistent

A system of linear equation that doesn’t have any solution

• Independent-consistent

• Dependent-consistent

• Inconsistent

A system of linear equation has slopes are not equal.

• Independent-consistent

• Dependent-consistent

• Inconsistent

A system of linear equation has slopes are equal but the y-intercept is not equal.

• Independent-consistent

• Dependent-consistent

• Inconsistent

A line that has infinite number of solution.

• Intersecting lines

• Parallel lines

• Coincident lines

• Perpendicular lines

Parallel lines have _____ solutions.

• One

• Two

• Infinite

• None

Coinciding lines have _____ solutions.

• One

• Two

• Infinite

• None

Intersecting lines have _____ solutions.

• One

• Two

• Infinite

• None