System of Equations and Their Graphs

Which of the following is CORRECT if the systems of linear equations is consistent?

• A system of linear equations is consistent if it has infinitely many solutions and their graphs coincide each other.

• A system of linear equations is consistent if it has at least one solution and their graphs have one point of intersection.

• A system of linear equations is consistent if it has no solution and their graphs are parallel.

• None of the above.

Which of the following is CORRECT if the systems of linear equations is consistent and dependent?

• A system of linear equations is consistent if it has infinitely many solutions and their graphs coincide each other.

• A system of linear equations is consistent if it has at least one solution and their graphs have one point of intersection.

• A system of linear equations is consistent if it has no solution and their graphs are parallel.

• None of the above.

Determine which of the following given point is a solution of the system of linear equations 2𝑢 − 𝑣 = 1 𝑎𝑛𝑑 2𝑢 + 𝑣 = 5.

• . (3, −1)

• (−1, −3)

• (−3, −1)

• . (1,3)

Which of the following is the graph of the systems of linear equation 3𝑥 − 2𝑦 = 6 𝑎𝑛𝑑 3𝑥 − 2𝑦 = 12 ?

• 
• 
• 
• 

What is the solution to this system?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

What is the solution to this system?

What is the solution?

• One Solution

• No solution

• Infinitely Many Solutions

• (0, -1.5)

Which of the following is the graph of the systems of linear inequalities

3𝑥 − 2𝑦 ≤ 6 𝑎𝑛𝑑 𝑥 − 2𝑦 ≥ 4?

• 
• 
• 
• 

• Consistent : Unique solution
• Consistent: Many Solutions 
• Inconsistent: No solution 
• None of the above 

If a pair of linear equations is consistent then their graph lines will be_______

• Parallel

• Always coincident.

• Always intersecting.

• Intersecting or coincident.