Solve the system of equations by any method. Enter the exact answer as an ordered triple, (x, y, z). 3x - 4y + 2z = -13 2x + 4y + z = 17 2x + 3y + 5z = 25 ● Hint: There are multiple ways to solve this system of equations. A strategy is to eliminate one of the variables and end up with 2 equations in 2 variables. • One way to do that is to begin with equation 2 to get z = 17-2x - 4y. . Then substitute 17 - 2x - 4y for 2 in equations 1 and 3. (1) (2) (3) · • You now have 2 equations (the modified equations 1 and 3) in 2 variables (x and y). Solve this smaller system for x and y and then use z = 17-2x - 4y to calculate z.
Solve the system of equations by any method. Enter the exact answer as an ordered triple, (x, y, z). 3x - 4y + 2z = -13 2x + 4y + z = 17 2x + 3y + 5z = 25 ● Hint: There are multiple ways to solve this system of equations. A strategy is to eliminate one of the variables and end up with 2 equations in 2 variables. • One way to do that is to begin with equation 2 to get z = 17-2x - 4y. . Then substitute 17 - 2x - 4y for 2 in equations 1 and 3. (1) (2) (3) · • You now have 2 equations (the modified equations 1 and 3) in 2 variables (x and y). Solve this smaller system for x and y and then use z = 17-2x - 4y to calculate z.
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.7: Puzzle Problems
Problem 31P
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