Lorena Beard

2022-07-12

How to solve this this equations?
$-555=0.862X+0.138Y-0.345Z,\phantom{\rule{0ex}{0ex}}-911=0.413X+0.587Y-0.492Z,\phantom{\rule{0ex}{0ex}}674=0.849X+0.142Y+0.358Z,\phantom{\rule{0ex}{0ex}}$

engaliar0l

Expert

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

Expert