{(х/3)-(у/2)+3=0|×6
{(х/2)+(у/5)-5=0|×10
{2х-3у+18=0
{5х+2у-50=0
5х=50-2у
х=(50-2у)/5
2×(50-2у)/5-3у+18=0|×5
2×(50-2у)-15у+90=0
100-4у-15у+90=0
-19у=-190|÷(-19)
у=10
х=(50-2у)/5
х=(50-2×10)/5
х=(50-20)/5
х=30/5
х=6
Проверка:
(х/3)-(у/2)+3=0
(6/3)-(10/2)+3=0
2-5+3=0
-3+3=0
0=0-истина.
(х/2)+(у/5)-5=0
(6/2)+(10/5)-5=0
3+2-5=0
3-3=0
0=0-истина.
Ответ:(х;у)=(6;10).
{(х/5)-(у/3)+0,6=0|×15
{(х/4)+(у/6)-1=0|×24
{3х-5у+9=0
{6х+4у-24=0
6х=(24-4у)
х=(24-4у)/6
(3×(24-4у)/6)-5у+9=0
((24-4у)/2)-5у+9=0
(2(12-2у)/2)-5у+9=0
(12-2у)-5у+9=0
12-2у-5у+9=0
-7у=-9-12
-7у=-21|÷(-7)
у=3
х=(24-4у)/6
х=(24-4×3)/6
х=(24-12)/6
х=(12/6)
х=2
Проверка:
(х/5)-(у/3)+0,6=0
(2/5)-(3/3)+0,6=0
0,4-1+0,6=0
-0,6+0,6=0
0=0-истина.
(х/4)+(у/6)-1=0
(2/4)+(3/6)-1=0
(1/2)+(1/2)-1=0
0,5+0,5-1=0
1-1=0
0=0-истина.
Ответ: (х;у)=(2;3)