How to solve this this equations? − 555 = 0.862 X + 0.138 Y −...

Lorena Beard

Lorena Beard

Answered

2022-07-12

How to solve this this equations?
555 = 0.862 X + 0.138 Y 0.345 Z , 911 = 0.413 X + 0.587 Y 0.492 Z , 674 = 0.849 X + 0.142 Y + 0.358 Z ,

Answer & Explanation

engaliar0l

engaliar0l

Expert

2022-07-13Added 13 answers

Hint:
Solve the first equation for X.
Substitute X into the second equation and solve for Y.
Substitute Y into the third equation and find Z.
Use this to find Y and X from the first two equations.
You should end up with:
X = 79.2468 , Y = 140.527 , Z = 1750.49
Note that there are many other ways to solve this, for example Gaussian Elimination or Cramer's Rule, etc.
grenivkah3z

grenivkah3z

Expert

2022-07-14Added 6 answers

The alternative to usual precise methods (Gauss–Jordan elimination used in most online calculators) is iterative methods. It may be Jacobi, or Gauss-Seidel (classical).

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