3. Show that x= 10, y = 4, and z =7 is a solution to the system below without solving the system formally. x+2y+z = 25 4x-y-5z 1 -2x-y+8z = 32

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
Section9.2: The Substitution Method
Problem 32WE
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Question 3 and 4
3. Show that x =10, y = 4, and z =7 is a solution to the system below without solving the system formally.
x+2y+z= 25
4x-y-5z 1
-2x-y+8z = 32
4. In the following system, the value of the constant c is unknown, but it is known that x= -8 and y=4 are
the x and y values that solve this system. Determine the value of c. Show how you arrived at your answer.
-5x+2y+3z=81
x- y+z =-1
2x– y+cz = 35
Transcribed Image Text:3. Show that x =10, y = 4, and z =7 is a solution to the system below without solving the system formally. x+2y+z= 25 4x-y-5z 1 -2x-y+8z = 32 4. In the following system, the value of the constant c is unknown, but it is known that x= -8 and y=4 are the x and y values that solve this system. Determine the value of c. Show how you arrived at your answer. -5x+2y+3z=81 x- y+z =-1 2x– y+cz = 35
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