Is (2, –1, 3) a solution of 3x + 5y – 2z = -5 2х + Зу- z 3D —2 2x + 4y + 6z 18? Replace x with 2, y with -1, and z with 3. Using the first equation, we obtain: 3.2 + 5(-1) – 2(3) 2 -5 6 - 5 – 6 2 -5 -5 = -5, true The ordered triple (2, –1, 3) satisfies the first equation. In a similar manner, you can verify that it satisfies the other two equations and is a solution.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Is (2, –1, 3) a solution of
3x + 5y – 2z = -5
2х + Зу- z 3D —2
2x + 4y + 6z
18?
Replace x with 2, y with -1, and z with 3. Using the first
equation, we obtain:
3.2 + 5(-1) – 2(3) 2 -5
6 - 5 – 6 2 -5
-5 = -5, true
The ordered triple (2, –1, 3) satisfies the first equation. In a
similar manner, you can verify that it satisfies the other two
equations and is a solution.
Transcribed Image Text:Is (2, –1, 3) a solution of 3x + 5y – 2z = -5 2х + Зу- z 3D —2 2x + 4y + 6z 18? Replace x with 2, y with -1, and z with 3. Using the first equation, we obtain: 3.2 + 5(-1) – 2(3) 2 -5 6 - 5 – 6 2 -5 -5 = -5, true The ordered triple (2, –1, 3) satisfies the first equation. In a similar manner, you can verify that it satisfies the other two equations and is a solution.
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