SOLUTION: Solve the system of 2 equations & 2 unknowns using the echelon method. 3x/8-3y/5=33/80 4x/7+4y/5=23/35

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve the system of 2 equations & 2 unknowns using the echelon method. 3x/8-3y/5=33/80 4x/7+4y/5=23/35      Log On


   



Question 891054: Solve the system of 2 equations & 2 unknowns using the echelon method.
3x/8-3y/5=33/80
4x/7+4y/5=23/35

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
3/8,-3/5,33/80
4/7,4/5,23/35
divide row 1 by 3/8
1,-24/15,264/240
4/7,4/5,23/35
add down (-4/7) *row 1 to row 2
1,-8/5,11/10
0,300/175,70/2450
divide row 2 by 12/7
1,-8/5,11/10
0,1,49/2940
We now have the value for the last variable.
We will work our way up and get the other solutions.
add up (8/5) *row 2 to row 1
1,0,23660/21000
0,1,7/420
final
1,0,169/150 = 1.12666667
0,1,7/420 = 0.16666667e-1
final
169/150,7/420