MHB Solve System of Equations: Find x, y, z & l1, l2, l3

AI Thread Summary
The discussion revolves around solving two systems of equations involving variables x, y, z, and l1, l2, l3. The first set of equations yields solutions x=5, y=3, z=7, while the second set results in l1=17A, l2=31A, and l3=14A. The user is struggling with the Gaussian Elimination method and seeks guidance on the steps involved. Other participants suggest setting up an augmented matrix and applying elementary row operations to solve the equations. The conversation highlights the importance of sharing attempted methods for more tailored assistance.
haydenmwht
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I am new to this site and am not all that great at math but am trying to grow. I can't figure out how to work these equations.1) x + y + z = 15
5x - z = 18
4y + z = 19In this one I need to solve for the variables. the answers for x, y, z are 5,3,7

2) l1 + l3 = l2
5.2l1 - 3.25l2 = (-12.35)
3.25l2 - 2.61l3 = 64.35The answers for l1, l2, & l3 are 17A, 31A, & 14A. Thanks for any help!
 
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haydenmwht said:
I am new to this site and am not all that great at math but am trying to grow. I can't figure out how to work these equations.1) x + y + z = 15
5x - z = 18
4y + z = 19In this one I need to solve for the variables. the answers for x, y, z are 5,3,7

2) l1 + l3 = l2
5.2l1 - 3.25l2 = (-12.35)
3.25l2 - 2.61l3 = 64.35The answers for l1, l2, & l3 are 17A, 31A, & 14A. Thanks for any help!

There are many ways to solve these problems, and unless you show us what you have tried, we have no way of knowing which method is appropriate for the purposes of your course.
 
I am trying to use the Gaussian Elimination method but I am struggling in the exact steps going through them. I don't mean to sound dumb.
 
I am mainly struggling with problem 2. I found this in an Electricians Book and am confused on the steps for their answer. I'll figure it out soon I'm sure but am still confused.
 
Hi haydenmwht,

Both problems can be done by setting up an augmented matrix and applying Gaussian Elimination. I'm assuming you are confused about the process of applying GE? From wikipedia, the elementary row operations are the following:

  • Type 1: Swap the positions of two rows.
  • Type 2: Multiply a row by a nonzero scalar.
  • Type 3: Add to one row a scalar multiple of another.

There are no hard and fast rules to GE...just some better or worse methods. :)
 
Last edited:
Hi everyone,

I just wanted to point out in order to prevent any duplication of effort, that this question has been answered elsewhere.

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