Determining Solutions to a System of Equations

What is the number of solutions for a system of linear equations if the lines are parallel?

• Infinite solutions

• One solution

• Two solutions

• No solution

If the lines in a system of linear equations coincide or fit one on top of the other( are coincident), how many solutions does the system have?

• Infinitely many solutions

• Two solutions

• No solution

• One solution

When solving a system of linear equations, what does it mean if the equations result in a true statement like 0 = 0?

• No solution

• Infinitely many solutions

• Two unique solutions

• One unique solution

In a system of linear equations, if the lines intersect at a single point, how many solutions does the system have?

• One

• Zero

• Two

• Infinity

What is the number of solutions for a system of linear equations if the lines are neither parallel nor coincident?

• Zero

• Three

• Two

• One

In a system of linear equations, if the lines are parallel and have the same y-intercept, how many solutions does the system have?

• Two solutions

• One solution

• Infinite solutions

• No solution

What is the significance of the slopes of the lines in a system of linear equations when determining the number of solutions?

• The slopes of the lines determine the number of solutions.

• The length of the lines determines the number of solutions.

• The color of the lines determines the number of solutions.

• The number of vertices of the lines determines the number of solutions.

If the lines in a system of linear equations are perpendicular, how many solutions does the system have?

• Two solutions

• Infinite solutions

• No solution

• One solution

How many solutions does the system y = 2x - 3 and 3x + y = 2 have?

• One solution

• Two solutions

• No solution

• Infinite solutions

Which one of the equation below will result in having a system that has NO SOLUTION if one of the equations is 3x -2y = 12?

• y = 2/3x -3

• y = 3x -12

• y = 3/2x + 5

• y = -3/2x -5