Algebra Test Helper
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SYSTEMS SUBSTITUTION METHOD EXAMPLE 1
Here is an example of how to solve a system using the substitution
method. Remember to read the lesson on this topic.
Basic steps to follow:
1. First understand that the solution to a system is the (x, y) point
where the lines that make up the system intersect
2. Solve for one of the variables in one of the equations of the
system
3. Substitute the results from step 2 into the other equation; this
will result in a one variable equation that you can solve.
4. Use the solution from step 3 to solve for the other variable
SYSTEMS OF INEQUALITIES EXAMPLE 1
Here is an example of how to solve a system of inequalities.
Remember to read the lesson on this topic.
Basic steps to follow:
1. First make sure you understand how to solve linear inequalities
and systems
2. Graph both lines of the system and find the solution; be mindful
of the lines you draw; < and > inequalities will have dashed lines and
≤ and ≥ will have solid lines
3. Test a the point (0, 0) for each inequality of the system and
shade towards the true region; the overlapping shaded region of both
lines indicates the solution of the system of inequalities
4. Students need to have mastered inequalities of two variables
before systems of inequalities
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