**Solving an Applied Problem by Writing a System of Equations**

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**Step 1:- **Read the problem, several times if necessary, until you understand what is given and what is to be found.

**Step 2:-** Assign variables to represent the unknown values, using diagrams or tables as needed. Write down what each variable represents.

**Step 3:-** Write a system of equations that relates the unknowns.

**Step 4 :-** Solve the system of equations.

**Step 5:-** State the answer to the problem. Does it seem reasonable?

**Step 6:-** Check the answer in the words of the original problem.