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Download Algebra II Substitution and Elimination Notes 3 Variables GOAL
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Algebra II Substitution and Elimination Notes 3 Variables GOAL- Solve a linear system with 3 variables algebraically SUBSTITUTION METHOD: STEP 1: Solve one of the equations for one of its variables, (i.e solve for x , y, or z). Then put a circle or box around everything after the equal sign. STEP 2: Substitute the expression from step 1 into the other two (2) equations and simplify. (This will give you two equations with just 2 variables). STEP 3: Solve the new system of 2 equations and 2 variables using either Substitution or Elimination. STEP 4: To find the 3rd variable, Plug in the solutions for the 2 variables solved in Step 3 back into the isolated equation from Step 1 and solve for the 3rd variable. Strategy Suggestion. Number each of your equations at the very start of the problem. ALWAYS CHECK the final solution (x, y, z) by plugging it back into each original equation. Example: Solve the following system of equations using Substitution/Elimination to find the solution (x, y, z) 2. Q IK j) 5jc + 4y + 22 = 5 2', 3X 4 - - ( *~7