Question

How should the coefficients a, b, and c be chosen so that the system ax + by - 3z = -3 -2x - by + cz = -1 ax + 3y - cz = -3 has the solution x = 1, y = -1, and z = 2?

Name: how should the coefficients a b and c be chosen so that the system axby 3z 3 2x bycz 1 ax3y cz 3 has the solution x 1y 1 and z2 38068
Uploaded: 2022-08-11T16:19:07-08:00
Duration: 3 min 24 s
Channel: Ryan Yaiser
Description: how should the coefficients a b and c be chosen so that the system axby 3z 3 2x bycz 1 ax3y cz 3 has the solution x 1y 1 and z2 38068

          How should the coefficients a, b, and c be chosen so that the system
ax + by - 3z = -3
-2x - by + cz = -1
ax + 3y - cz = -3

has the solution x = 1, y = -1, and z = 2?

Added by Christopher S.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Ryan Yaiser

08/11/2022

Step 1

Step 1:** Plug in the given values x = 1, y = -1, and z = 2 into the system of equations: - Equation 1: a(1) + b(-1) - 3(2) = -3 a - b - 6 = -3 a - b = 3 - Equation 2: -2(1) - b(-1) + c(2) = -1 -2 + b + 2c = Show more…

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How should the coefficients a, b, and c be chosen so that the system ax + by - 3z = -3 -2x - by + cz = -1 ax + 3y - cz = -3 has the solution x = 1, y = -1, and z = 2?