Solve the system of equations by any method. 3x−4y+2z =−20 (1)2x+4y+z =19 (2)2x+3y+5z =26 (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=19−2x−4y.Then substitute 19−2x−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=19−2x−4y to calculate z.

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Answered: Solve the system of equations by any…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter9: Quadratic Functions And Equations

Section9.7: Solving Systems Of Linear And Quadratic Equations

Problem 37PFA

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Solve the system of equations by any method.

3x−4y+2z

=−20

(1)

2x+4y+z

=19

(2)

2x+3y+5z

=26

(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=19−2x−4y.
Then substitute 19−2x−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=19−2x−4y to calculate z.

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