Show that the following system of equations has unique solutions. Find its solution by thereduction method๐‘ฅ + ๐‘ฆ + ๐‘ง = 2, ๐‘ฅ โˆ’ 2๐‘ฆ + ๐‘ง = 8, 3๐‘ฅ + ๐‘ฆ + ๐‘ง = 4

Question

Show that the following system of equations has unique solutions. Find its solution by thereduction method๐‘ฅ + ๐‘ฆ + ๐‘ง = 2, ๐‘ฅ โˆ’ 2๐‘ฆ + ๐‘ง = 8, 3๐‘ฅ + ๐‘ฆ + ๐‘ง = 4
๐Ÿง Not the exact question you are looking for?Go ask a question

Solution 1

Sure, let's solve this system of equations step by step.

The system of equations is:

  1. x + y + z = 2
  2. x - 2y + z = 8
  3. 3x + y + z = 4

Step 1: Subtract the first equation from the second and third equations to eliminate x:

Subtracting equation 1 from equation 2 gives: -3y = 6, or y = -2. Subt Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

This problem has been solved

Similar Questions

Show that the following system of equations has unique solutions. Find its solution by thereduction method๐‘ฅ + ๐‘ฆ + ๐‘ง = 2, ๐‘ฅ โˆ’ 2๐‘ฆ + ๐‘ง = 8, 3๐‘ฅ + ๐‘ฆ + ๐‘ง = 4

Given the following system of equations:3๐‘ฅโˆ’2๐‘ฆ=73xโˆ’2y=7๐‘ฅ+๐‘ฆ=โˆ’1x+y=โˆ’1Solve to find the solution to the system.

If ๐‘ง=๐‘ ๐‘–๐‘›โก(3๐‘ฅ+2๐‘ฆ), determine 3โˆ‚2๐‘งโˆ‚๐‘ฆ2-2โˆ‚2๐‘งโˆ‚๐‘ฅ2Question 9Answera.-6๐‘ ๐‘–๐‘›โก(3๐‘ฅ+2๐‘ฆ)b.12๐‘ ๐‘–๐‘›โก(3๐‘ฅ+2๐‘ฆ)c.6๐‘งd.6๐‘๐‘œ๐‘ โก(3๐‘ฅ+2๐‘ฆ)

If ๐‘ง=๐‘ ๐‘–๐‘›โก(3๐‘ฅ+2๐‘ฆ), find its derivative with respect to xQuestion 7Answera.๐‘๐‘œ๐‘ โก(3+2๐‘ฆ)b.3๐‘๐‘œ๐‘ โก(3๐‘ฅ+2๐‘ฆ)c.๐‘ ๐‘–๐‘›โก(3+2๐‘ฆ)d.3๐‘ ๐‘–๐‘›โก(3+2๐‘ฆ)

How many solutions does this system of equations have?๐‘ฆ=๐‘ฅ2ย +ย ๐‘ฅย +ย 3๐‘ฆ=โˆ’2โข๐‘ฅย โˆ’ย 5 A. no real solutions B. 1 real solution C. 2 real solutions D. 3 real solutions

1/3