SOLUTION: Solve the following system: 0.4x - 0.2y = 0.6 2.5x - 0.3y = 4.7

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Solve the following system: 0.4x - 0.2y = 0.6 2.5x - 0.3y = 4.7       Log On


   



Question 43027: Solve the following system:
0.4x - 0.2y = 0.6
2.5x - 0.3y = 4.7

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following system:
1st: 0.4x - 0.2y = 0.6
2nd: 2.5x - 0.3y = 4.7

Multiply through both by 10 to get rid of the decimals.
1st: 4x - 2y = 6
2nd: 25x - 3y = 47
Multiply the 1st by 3 and the 2nd by 2 to get:
1st: 12x - 6y = 18
2nd: 50x -6y = 94
Subtract the 1st from the 2nd to get:
38x =76
x=2
Substitute to solve for "y", as follows:
12(2) -6y = 18
-6y=-6
y=1
SOLUTION:
x=2, y=1
Cheers,
stan H.