# Systems Of Equations By Graphing Worksheet

What is the “Systems of Equations By Graphing Worksheet”?

This worksheet will show the properties of solutions of systems of equations through graphing. A system of equations will be given and the learner will be able to identify the number of solutions through the graph created.

This worksheet will be a useful foundation in the future topics of mathematics.

This worksheet will help the learner to identify the graphical representations of the solutions of equations. Specifically, if the equation has one solution, no solution, or infinite solutions.

The exercises provided in this worksheet will include graphing the given system of equations and then identifying the solution of the system of equations through the graph given.

### What does One Solution mean?

When the equations are graphed and they have an intersection, the equations are said to have one solution. And the solution is the point of intersection.

### What does no solution mean?

The equations have no solutions and are never true even if the variables are changed. The graph will show a parallel line.

### What does infinite solution mean?

When two equations have the same y-intercept and slope, they have infinite solutions. This also means that the equations are equal.

### Instructions on how to use “Systems of Equations By Graphing Worksheet”

Use this worksheet to understand and identify graphs that have one solution, no solution, or infinite solutions. This worksheet will discuss short lessons and will be giving a math drill that will give a system of equations in each item and then allowing the learner to graph them.

Lastly, the learner will be given an activity of multiple choice to identify a given graph by its solution..

### Conclusion

Equations have properties that need to be understood to be able to understand advanced topics in the future. It is also essential that the graphical images are understood.

This will be very advantageous especially in creating graphs for other equations in the future.