Question

stiind ca 3x-y/2x+y =5/4, calculati valoarea raportului x/y

Answer 1

3x-y=5
2x+y=4 rezulta 2x=4-y rezulta x=4-y/2
3*((4-y)/2)-y=5
(12-3y/2)-y=5
12-3y-2y=10
-5y=10-12
-5y=-2
y=2/5
x=4-y/2=(4-2/5)/2=(20-2)/5*1/2=18/10=9/5
y=2/5
x=9/5