9Solve the system of equations by any method.(picture provided) Enter the exact answer as an ordered triple, (x,y,z). 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=14−2x−4y.Then substitute 14−2x−4y for z in equations 1 and 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=14−2x−4y to calculate z. Solve the system of equations by any method.3x – 4y + 2z = -18(1)2x + 4y + z = 14(2)2x + 3y + 5z18(3)Enter the exact answer as an ordered triple, (x, y, z) .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 = 14 – 2 z – 4 y.• Then substitute 14 – 2 x – 4 y for z in equations 1 and 3.• You now have 2 equations (the modified equations 1 and 3) in 2 variables (æ and y).• Solve this smaller system for z and y and then use z= 14 – 2 x – 4 y to calculate z.

Answered: nter the exact answer as an ordered…

(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 33P

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9Solve the system of equations by any method.

(picture provided)

Enter the exact answer as an ordered triple, (x,y,z).

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=14−2x−4y.
Then substitute 14−2x−4y for z in equations 1 and 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=14−2x−4y to calculate z.