SOLUTION: 0.3x-0.2y=4 and 0.5x+0.5y = -15/19

Algebra ->  Equations -> SOLUTION: 0.3x-0.2y=4 and 0.5x+0.5y = -15/19      Log On


   

Question 300355: 0.3x-0.2y=4 and 0.5x+0.5y = -15/19
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.0.3x-0.2y=4+
2.0.5x%2B0.5y+=+-15%2F19
Multiply both equations by 10 to get rid of decimals.
Divide eq. 2 by 5, both sides.
1.3x-2y=40+
2.x%2By+=+-30%2F19
From eq. 1,
3x-2y=40
2y=3x-40
y=%283%2F2%29x-20
Substitute into eq. 2,
x%2B%283%2F2%29x-20=-30%2F19
%285%2F2%29x=-30%2F19%2B380%2F19
%285%2F2%29x=350%2F19
highlight_green%28+x=140%2F19%29
Then from eq. 2,
x%2By=-30%2F19
140%2F19%2By=-30%2F19
highlight_green%28+y=-170%2F19%29