Reposting from yesterday’s submission with added information system:x- 2y + 3z = 222r 3y z = 53x + y-5z = -32.Solving Systems of Linear Equations in Three Variablesby Eliminating VariablesThe method for solving a system of linear equations in three variables is similar tothat used on systems of linear equations in two variables. We use addition to eliminateany variable, reducing the system to two equations in two variables. Once we obtain asystem of two equations in two variables, we use addition or substitution to eliminate avariable. The result is a single equation in one variable. We solve this equation to get thevalue of the remaining variable. Other variable values are found by back-substitution.Solving Linear Systems in Three Variables by Eliminating Variables1. Reduce the system to two equations in two variables. This is usuallyaccomplished by taking two different pairs of equations and using theaddition method to eliminate the same variable from both pairs.2. Solve the resulting system of two equations in two variables using additionor substitution. The result is an equation in one variable that gives the valueof that variable.3. Back-substitute the value of the variable found in step 2 into either of theequations in two variables to find the value of the second variable.4. Use the values of the two variables from steps 2 and3 to find the value ofthe third variable by back-substituting into one of the original equations.5. Check the proposed solution in each of the original equations.EXAMPLE 2Solving a System in Three VariablesSolve the system:5x 2y 4z = 33x +3y + 2z = -3Equation 1Equation 2-2x + 5y + 3z = 3.Equation 3SOLUTIONThere are many ways to proceed. Because our initial goal is to reduce the system.to two egations in tve variahles the contralidon isto toke tun difforont nairs of 9:274(5

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Description: Reposting from yesterday’s submission with added information system:x- 2y + 3z = 222r 3y z = 53x + y-5z = -32.Solving Systems of Linear Equations in Three Variablesby Eliminating VariablesThe method for solving a system of linear equations in three v

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E 2 Solving a System in Three Variables stem: 5x 2y 4z = 3 3x + 3y + 2z = -3 -2x + 5y + 3z 3. Equation 1 Equation 2 Equation 3 %3D ON many ways to proceed. Because our initial goal is to reduce ations in tuo voriables the cont lidon is ntoko twn diffor

E 2 Solving a System in Three Variables stem: 5x 2y 4z = 3 3x + 3y + 2z = -3 -2x + 5y + 3z 3. Equation 1 Equation 2 Equation 3 %3D ON many ways to proceed. Because our initial goal is to reduce ations in tuo voriables the cont lidon is ntoko twn diffor

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter6: Systems Of Linear Equations And Inequalities

Section6.3: Elimination Using Addition And Subtraction

Problem 31PPS

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