Write and Explain how to solve a system of three equations using the elimination method.
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To use elimination to solve a system of three equations with three variables, follow this procedure:
Write all the equations in standard form cleared of decimals or fractions.
Choose a variable to eliminate; then choose any two of the three equations and eliminate the chosen variable.
Select a different set of two equations and eliminate the same variable as in Step 2.
Solve the two equations from steps 2 and 3 for the two variables they contain.
Substitute the answers from Step 4 into any equation involving the remaining variable.
Check the solution with all three original equations.
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