Question

Решите систему способом подстановки

Answer 1

( х/3 ) - (y/2 ) = - 3
(x/2 ) + (y/5 ) = 5
Решение
y/2 = ( x/3 ) + 3 = ( х + 9 ) / 3
y = ( ( x + 9 ) / 3 ) • 2 = ( 2x + 18 ) / 3 = ( 2/3)x + 6
( x/2 ) + ( y/5 ) = 5
( x/2 ) + ( ( 2/3x ) + 6 ) / 5 = 5
( x/2 ) + ( 2/15)x + ( 6/5 ) = 5
15x + 4x + 36 = 150
19x = 114
x = 6
y = ( 2/3 )•6 + 6 = 4 + 6 = 10
Ответ ( 6 ; 10 )