IXL | Classify a system of equations by graphing

Graph these equations:

–

Click to select points on the graph.

Coordinate plane graph with 4 quadrants, x-axis coordinates from -10 to 10, y-axis coordinates from -10 to 10.

Which describes the system of equations above?

consistent and dependent

consistent and independent

inconsistent

ref_doc_title.

Learn with an example

question

Graph these equations:

Click to select points on the graph.

Which describes the system of equations above?

consistent and dependent

consistent and independent

inconsistent

key idea

A system of two equations can be classified as follows:

If the two lines are parallel, the system is inconsistent, with no solution.
If the two lines intersect at one point, the system is consistent and independent, with one solution.
If the two lines are the same, the system is consistent and dependent, with infinitely many solutions.

solution

The first equation is

The

-intercept

is 5. Plot the point

(

)

The slope is 2. Move up 2 and right 1 to find another point on the line.

Draw a line connecting them.

The second equation is

The

-intercept

is 7. Plot the point

(

)

The slope is 2. Move up 2 and right 1 to find another point on the line.

Draw a line connecting them.

Finally, identify the point of intersection.

The two lines are parallel. The system is inconsistent.

Looking for more? Try these:

Lesson: Systems of equations

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GG.4Find the number of solutions to a system of equations by graphing

Lesson: Systems of equations

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