Use these results and substitute into either equation (2) or (3) to find y. Then use this result, together with equation (1), to solve for x and z. Therefore, use equations (2) and (3) to eliminate y. Notice that equation (1) already has the y eliminated. Solve this system of equations using the elimination method. Use the answers from Step 4 and substitute into any equation involving the remaining variable.Ĭheck the solution in all three original equations. Now, substitute z = 3 into equation (4) to find y. Solve the system created by equations (4) and (5). Select a different set of two equations, say equations (2) and (3), and eliminate the same variable. Solve this system of equations using elimination.Īll the equations are already in the required form.Ĭhoose a variable to eliminate, say x, and select two equations with which to eliminate it, say equations (1) and (2). Substitute the answers from Step 4 into any equation involving the remaining variable.Ĭheck the solution with all three original equations. Solve the two equations from steps 2 and 3 for the two variables they contain. Select a different set of two equations and eliminate the same variable as in Step 2. Write all the equations in standard form cleared of decimals or fractions.Ĭhoose a variable to eliminate then choose any two of the three equations and eliminate the chosen variable. To use elimination to solve a system of three equations with three variables, follow this procedure:
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