Question

Determinati numerele a,b,c stiind ca a/-2=b/3=c/-4 si 4a+2b+3c=-20

Answer 1

a/-2=b/3=c/-4=x
a/ -2=x
a= -2x
b/3=x
b=3x
c/-4=x
x= -4x
4a+2b+3c=20
4( -2x)+2(3x)+3( -4x)=20
 -8x+6x -12x=20
 -14x=20
 x==20/ -14
x=10 /- 7
a= -2x
a= -2(10/-7)= -20/-7=20/7
b=3x
b=3x10/ -7=30/ -7
c= -4(10/-7)
c= -40/-7= 40/7