math,algebra II

I need someone to explain to me step by step the process of this problem its in my book as an example but i am not understanding it. Ive researched the explanation of the ECHELON METHOD...BUt i am not seeingit...this is the problem that they have:

Use the echeclon method to solve the system of three equations in three unknowns

2x+4y+z = 22
4x - 4y -z = 2
4x +y =4z = 12

Matrix would be the prefered method, echelon is harder.

First, take eq1)
2x+4y+z = 22 add this to equation 2 to eliminate z
2x+4y+z = 22
4x - 4y -z = 2
6x=24 solve for x.

Now multipy equation 2) by 4
16x-16y-4z=8
add to equation three
4x +y +4z = 12 or
20x-15y=20 you know x, so solve for y.

Put x,y in any of the equations, solve for z.

This was NOT a good problem for echelon.

  1. 👍 0
  2. 👎 0
  3. 👁 179
asked by alma20

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    I need help solving the problem not the answer. (Multiple Choice) The steps below show the incomplete solution to find the value of x for the equation 7x + 8 − 3x = −6 + 10: Step 1: 7x + 8 − 3x = −6 + 10 Step 2: 7x + 8 −

    asked by Ryan on March 30, 2017
  2. math

    x(6x+1)

    asked by WINSTON on March 10, 2014
  3. english!

    Make sure you understand the topic(s) is a step in the research process. (A) This step needs to be done as soon as your research is completed. (B) This step is the last step in the research process. (C) Always ensure you grasp the

    asked by *Thara* on February 3, 2010
  4. math

    Consider the sequence of steps to solve the equation: 2(x − 4) + 6x = 9x − 10 Which step in solving this equation is justified by the Commutative Property of Addition? Given ⇒ 2(x − 4) + 6x = 9x − 10 Step 1 ⇒ 2x − 8

    asked by Anonymous on October 25, 2018
  5. Calculus

    1/a+1 + 1/a-1 I solved this out by multiplying the (a+1) by (a-1) and multiplying (a-1) with (a+1) To get (a+1)(a-1) as the denominator. Then I did the same with the numerators and got this: 1(a-1) + 1(a+1)/(a+1)(a-1) And I got

    asked by -Untamed- on January 2, 2012
  6. Algebra help

    f(x)=x^3-4x^2-x+4 How do I find the x-intercept for this? This is from my book: step 1: 0=x^3-4x^2-x+4 step 2: 0=x^2(x-4)+(-1)(x-4) step 3: 0=(x^2-1)(x-4) I know how to solve once I get to step 3, but in step 2, I don't know what

    asked by Claure on June 16, 2009
  7. HELP-PROBLEM SOLVING IN MATHEMATICS

    probably the most famous approach to problem solving is Polya's four-step process. Describe the four-step process.

    asked by alya on October 14, 2011
  8. Physics

    Can someone show me and explain a step by step process how to do this problem? Thanks 1) Two equal but opposite charges re separated by a distance d. Determine a formula for VBA = VB – VA for points B and A on the line between

    asked by Lyn on February 8, 2015
  9. Geometry

    A parabola has a focus of F(2,8.5) and a directrix of y=9.5. The point P(x,y) represents any point on the parabola, while D(x,9.5) represents any point on the directrix. Maria was asked to use the distance formula to write an

    asked by lilbaby on December 4, 2018
  10. Creative Writing

    Right now, i'm learning about two types of ways to develop writing: directional Process Analysis, and Informational process analysis. In directional: this is when you follow step by step directions to complete something. some

    asked by y912f on November 22, 2009
  11. Calculus

    Can someone show me a step by step process, along with explanations on how to do this problem? Thank you. :) Evaluate the integral ∫ [(x^2 - 1)/(x^2 + 1)]dx?

    asked by Aria on February 9, 2015

More Similar Questions