Solve the following systems of equations by Cramer's rule. (b) (а) fа1х, + а2х, — b; lа21х, + а22X2 %3D bz, 2x1 + х, — 3хз — 5 X1 – 2x2 + x3 = 10 ( 3х, + 4x, — 2хз 3D 0 where aja22 - a12a21 # 0. (c) 2х1 + X2 — Зxз — (d) X1 - X2 + 4x3 = – 4 - 8x1 + 3x2 + X3 = х, — 2х2 + хз — 8 Зx, + 4x, — 2хз 2х1 — X2 + Хз — X2 + 4x3 - 8x1 + 3x2 + X3 = (e) - 2 (f) 3x1 + X2 + X3 = 4 — 2х, — X2 12 2x1 – X2 + X3 = X1 + 2x2 + x3 = -8

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter4: Systems Of Linear Equations
Section4.6: Solve Systems Of Equations Using Determinants
Problem 279E: Explain the steps for solving a system of equations using Cramer’s rule.
icon
Related questions
Question
Solve the following systems of equations by Cramer's rule.
(b)
(а) fа1х, + а2х, — b;
lа21х, + а22X2 %3D bz,
2x1 + х, — 3хз — 5
X1 – 2x2 + x3 = 10
( 3х, + 4x, — 2хз 3D 0
where aja22 - a12a21 # 0.
(c)
2х1 + X2 — Зxз —
(d)
X1 - X2 + 4x3 = – 4
- 8x1 + 3x2 + X3 =
х, — 2х2 + хз —
8
Зx, + 4x, — 2хз
2х1 — X2 + Хз —
X2 + 4x3
- 8x1 + 3x2 + X3 =
(e)
- 2
(f)
3x1 + X2 + X3 =
4
— 2х, — X2
12
2x1 –
X2 + X3 =
X1 + 2x2 + x3 = -8
Transcribed Image Text:Solve the following systems of equations by Cramer's rule. (b) (а) fа1х, + а2х, — b; lа21х, + а22X2 %3D bz, 2x1 + х, — 3хз — 5 X1 – 2x2 + x3 = 10 ( 3х, + 4x, — 2хз 3D 0 where aja22 - a12a21 # 0. (c) 2х1 + X2 — Зxз — (d) X1 - X2 + 4x3 = – 4 - 8x1 + 3x2 + X3 = х, — 2х2 + хз — 8 Зx, + 4x, — 2хз 2х1 — X2 + Хз — X2 + 4x3 - 8x1 + 3x2 + X3 = (e) - 2 (f) 3x1 + X2 + X3 = 4 — 2х, — X2 12 2x1 – X2 + X3 = X1 + 2x2 + x3 = -8
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 6 images

Blurred answer
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning