Solve the system of linear equations and check any solution algebraically. 2x - 2y - 6z = -10 -3x + 2y + 6z = 4 x - y - 7z = -15 Step 1 Since the leading coefficient of the third equation is 1, interchange the third equation with the first equation. y - 7z = -15 -3x + 2y + 6z = X - Equation 1 Equation 2 Equation 3 4 2x - 2y - 6z = -10 Adding 3 times Equation 1 to Equation 2 produces a new second equation. Adding -2 times Equation 1 to Equation 3 produces a new third equation. X - y - 7z = -15 Equation 1 - 15z =-41 -y -41 Equation 2 8z = 20 20 Equation 3 Step 2 Multiplying the second equation by -1 produces a new second equation and multiplying the third equation by produces a new third equation. X - y - 7z = -15 y + 15z = Z =

Solve the system of linear equations and check any solution algebraically. 2x - 2y - 6z = -10 -3x + 2y + 6z = 4 x - y - 7z = -15 Step 1 Since the leading coefficient of the third equation is 1, interchange the third equation with the first equation. y - 7z = -15 -3x + 2y + 6z = X - Equation 1 Equation 2 Equation 3 4 2x - 2y - 6z = -10 Adding 3 times Equation 1 to Equation 2 produces a new second equation. Adding -2 times Equation 1 to Equation 3 produces a new third equation. X - y - 7z = -15 Equation 1 - 15z =-41 -y -41 Equation 2 8z = 20 20 Equation 3 Step 2 Multiplying the second equation by -1 produces a new second equation and multiplying the third equation by produces a new third equation. X - y - 7z = -15 y + 15z = Z =

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter5: Systems Of Linear Equations

Section5.3: Solve Systems Of Equations By Elimination

Problem 5.68TI: For each system of linear equations, decide whether it would be more convenient to solve it by...

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