How Many Solutions Equations and Systems

Front

How many solutions are there in the system of equations: y = 5x - 12 and y = 4x - 3?

Back

One Solution

Front

How many solutions does the system have: y = 2x - 5 and y = ½x + 7?

Back

One Solution

Front

How many solutions does this system of equations have? (Options: Two Solutions, No Solutions, Infinite Solutions, One Solution)

Back

One Solution

Front

What is the solution for the system of equations that has no intersection? (Options: No solution, One Solution, Infinite Solutions, Two Solutions)

Back

No solution

Front

If a system of equations has infinitely many solutions, what does the graph look like? (Options: same lines, parallel lines, intersecting lines)

Back

same lines

Front

What does it mean if two lines are parallel in a system of equations?

Back

They have no solutions.

Front

What does it mean if two lines intersect at one point in a system of equations?

Back

They have one solution.

Front

What is the graphical representation of a system with two solutions?

Back

This is not possible; a system can have either no solution, one solution, or infinitely many solutions.

Front

What is the definition of a system of equations?

Back

A set of two or more equations with the same variables.

Front

What is the solution to a system of equations?

Back

The point(s) where the equations intersect on a graph.