Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 4: Q 4.67 (page 427)

Solve the system of equations:
$x + 2 y + 6 z = 5 鈭� x + y 鈭� 2 z = 3 x 鈭� 4 y 鈭� 2 z = 1$

Short Answer

Expert verified

There is no solution of given system of linear equations.

Step by step solution

Step 1. Given Information

We are given a system of linear equation,

$x + 2 y + 6 z = 5 - (1) 鈭� x + y 鈭� 2 z = 3 - (2) x 鈭� 4 y 鈭� 2 z = 1 - (3)$

Step 2. Solving the equations

Adding first and second equations, we get

$x - x + 2 y + y + 6 z - 2 z = 5 + 3 3 y + 4 z = 8 - (4)$

Now, adding second and third equations, we get

$- x + x + y - 4 y - 2 z - 2 z = 3 + 1 - 3 y - 4 z = 4 - (5)$

Now, Adding fourth and fifth equation, we get

$3 y - 3 y + 4 z - 4 z = 8 + 4 0 鈮� 12$

This is not true hence the given system has no solution.

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91影视

Solve the system of equations:
$x + 2 y + 6 z = 5 鈭� x + y 鈭� 2 z = 3 x 鈭� 4 y 鈭� 2 z = 1$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solving the equations

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91影视

Solve the system of equations:x+2y+6z=5鈭�x+y鈭�2z=3x鈭�4y鈭�2z=1

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solving the equations

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Pure Maths

Calculus

Statistics

Decision Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve the system of equations:
$x + 2 y + 6 z = 5 鈭� x + y 鈭� 2 z = 3 x 鈭� 4 y 鈭� 2 z = 1$