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Linear Equation5

# Linear Equation5 - 2 Choose a variable to eliminate then...

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Linear Equations: Solutions Using Elimination with Three Variables Systems of equations with three variables are only slightly more complicated to solve than those with  two variables. The two most straightforward methods of solving these types of equations are by  elimination and by using 3 × 3 matrices. To use elimination to solve a system of three equations with three variables, follow this procedure:  1. Write all the equations in standard form cleared of decimals or fractions.
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Unformatted text preview: 2. Choose a variable to eliminate; then choose any two of the three equations and eliminate the chosen variable. 3. Select a different set of two equations and eliminate the same variable as in Step 2. 4. Solve the two equations from steps 2 and 3 for the two variables they contain. 5. Substitute the answers from Step 4 into any equation involving the remaining variable. 6. Check the solution with all three original equations....
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