Special Systems of Linear Equations

What is the outcome when two lines in a system of linear equations are parallel?

• Two solutions

• Infinitely many solutions

• No solution

• One solution

How can you visually determine that a system of equations has no solution?

• The lines intersect at one point

• The lines are parallel

• The lines overlap completely

• The lines form a triangle

What classification is given to a system with one solution?

• Dependent

• Consistent and independent

• Inconsistent

• Consistent and dependent

If a system of equations results in a false statement like 3 = -3, what does it indicate?

• Infinitely many solutions

• One solution

• No solution

• Two solutions

What does it mean if a system of equations results in a true statement like 0 = 0?

• Infinitely many solutions

• Two solutions

• One solution

• No solution

How can you determine the number of solutions without solving the system?

• By comparing slopes and y-intercepts

• By using elimination

• By graphing the equations

• By using substitution

What classification is given to a system with no solution?

• Dependent

• Consistent and independent

• Inconsistent

• Consistent and dependent

What is the classification of a system with infinitely many solutions?

• Dependent

• Consistent and dependent

• Inconsistent

• Consistent and independent

What happens when two lines have the same slope and different y-intercepts?

• They form a triangle

• They overlap completely

• They are parallel

• They intersect at one point

What is the result when two lines have different slopes?

• They intersect at one point

• They form a triangle

• They are parallel

• They overlap completely