SOLUTION: System of equations with three variables. Need help to reduce equations (lose fractions) and follow systems of three linear equations. Direction on how to do so would be great so I

Algebra ->  Systems-of-equations -> SOLUTION: System of equations with three variables. Need help to reduce equations (lose fractions) and follow systems of three linear equations. Direction on how to do so would be great so I      Log On


   

Question 984514: System of equations with three variables. Need help to reduce equations (lose fractions) and follow systems of three linear equations. Direction on how to do so would be great so I can complete other similar questions. Thank you
[3(x+6/5)+y/2+2z=25
x/2+5y-2/4+z=17
x-(2(y-1/7)-3z=-22
Solve following system equations with three linear equations.
Thank you
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
try to simplify each and get rid of the denominators
3(x+6%2F5)+y%2F2 + 2z = 25
distribute
3x+18%2F5+y%2F2 + 2z = 25
Multiply equation by 10, cancel the denominators
10(3x) + 2(18) + 5y + 10(2z) = 10(25)
30x + 36 + 5y + 20z = 250
30x + 5y + 20z = 250 - 36
30x + 5y + 20z = 214
:
x%2F2+5y-2%2F4+z=17
reduce fraction
x%2F2+5y-1%2F2+z=17
multiply by 2
x + 2(5y) - 1 + 2z = 2(17)
x + 10y + 2z = 34 + 1
x + 10y + 2z = 35
:
x-(2(y-1%2F7) - 3z = -22
Distribute
x-(2y - 2%2F7) - 3z = -22
minus a minus is a plus
x - 2y + 2%2F7 - 3z = -22
multiply equation by 7
7x - 7(2y) + 2 - 7(3z) = 7(-22)
7x - 14y - 21z = -154 - 2
7x - 14y - 21z = -156
:
This is how you simplify the equations, but I checked the solutions using the matrix feature on my Ti83 and none of the solutions are integers, either I made a mistake here or something is wrong with the problem. CK ankor@att.net