SOLUTION: Solve the following systems of equations: x+2y+3z+4s+5t=87 17z-5y+203.5=-(t+5s) 4t+23s-14z+21y+13x=17.5 8y+4z+2s+10t=30x 7.5x+8y+10t=18z+9s+738 I need helping sho

Algebra ->  Matrices-and-determiminant -> SOLUTION: Solve the following systems of equations: x+2y+3z+4s+5t=87 17z-5y+203.5=-(t+5s) 4t+23s-14z+21y+13x=17.5 8y+4z+2s+10t=30x 7.5x+8y+10t=18z+9s+738 I need helping sho      Log On


   



Question 552345: Solve the following systems of equations:
x+2y+3z+4s+5t=87
17z-5y+203.5=-(t+5s)
4t+23s-14z+21y+13x=17.5
8y+4z+2s+10t=30x
7.5x+8y+10t=18z+9s+738
I need helping showing work on how to get these answers.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following systems of equations:
x+2y+3z+4s+5t=87
17z-5y+203.5=-(t+5s)
4t+23s-14z+21y+13x=17.5
8y+4z+2s+10t=30x
7.5x+8y+10t=18z+9s+738
I need helping showing work on how to get these answers.
----------------
There are several methods.
There's elimination, eliminating one variable at a time until you solve for 1 of them.
---------
There's inverting the matrix.
-------
I would use determinants if I were to solve it.
A 5 by 5 is very tedious and error prone.
I would use an online solver, just type it in and get the answers. If you have to solve it manually, use a solver to check your work.