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Solve the system of linear equations and check any solution algebraically. 2x - 2y - 6z = -10 -3x + 2y + 6z = X - y - 7z = -15 Step 1 Since the leading coefficient of the third equation is 1, interchange the third equation with the first equation. X - y - 7z = -15 -3x + 2y + 6z = Equation 1 Equation 2 Equation 3 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. y - 7z = -15 Equation 1 - 15z = Equation 2 8z = Equation 3

Solve the system of linear equations and check any solution algebraically. 2x - 2y - 6z = -10 -3x + 2y + 6z = X - y - 7z = -15 Step 1 Since the leading coefficient of the third equation is 1, interchange the third equation with the first equation. X - y - 7z = -15 -3x + 2y + 6z = Equation 1 Equation 2 Equation 3 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. y - 7z = -15 Equation 1 - 15z = Equation 2 8z = Equation 3

Elementary Algebra
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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Solve the system of equations and check any solution algebraically.
Solve the system of linear equations and check any solution algebraically. 2x - 2y - 6z = -10 -3x + 2y + 6z = X - y - 7z = -15 Step 1 Since the leading coefficient of the third equation is 1, interchange the third equation with the first equation. X - y - 7z = -15 -3x + 2y + 6z = Equation 1 Equation 2 Equation 3 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. y - 7z = -15 Equation 1 - 15z = Equation 2 8z = Equation 3
Transcribed Image Text:Solve the system of linear equations and check any solution algebraically. 2x - 2y - 6z = -10 -3x + 2y + 6z = X - y - 7z = -15 Step 1 Since the leading coefficient of the third equation is 1, interchange the third equation with the first equation. X - y - 7z = -15 -3x + 2y + 6z = Equation 1 Equation 2 Equation 3 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. y - 7z = -15 Equation 1 - 15z = Equation 2 8z = Equation 3
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