Step 5 CHECK the solution in ALL 3 of the original equations. X – 3y + 6z = 21 3x + 2y – 5z = –30 2x – 5y + 2z = –6 I choose the first equation. Step 4 Substitute the value of the variables from the system of two equations in one of the ORIGINAL equations with three variables. Step 3 Write the resulting equations in two variables together as a system of equations. Any variable will work, but sometimes one may be a bit easier to eliminate. Step 2 Eliminate THE SAME variable in each of the two smaller systems. Step 1 Rewrite the system as two smaller systems, each containing two of the three equations. Use elimination to solve the following system of equations. This lesson will focus on the Elimination Method. Is (–3, 2, 4) a solution of this system? The solution must be a solution of all 3 equations. The solution to a system of three linear equations in three variables is an ordered triple.Solving Systems of Three Linear Equations in Three Variables The Elimination Method
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