calcula el valor de y a(x+y)-b(x-y)=2a a(x-y)-b(x+y)=2b
Respuestas a la pregunta
Calcula el valor de y:
a(x +y) - b(x - y)=2a ..................(1)
a(x - y) - b(x + y)=2b..................(2)
Sumando (1) + (2):
ax + ay - bx + by = 2a……………...(3)
ax - ay - bx - by = 2b…………….(4)
2ax -2bx = 2a + 2b
Dividiendo entre 2 la igualdad:
ax - bx = a + b
x (a - b) = (a + b)
x = (a + b) / (a - b)
Sustituyendo “x” en (3):
a (a + b) / (a - b) + ay - b (a + b) / (a - b) + by = 2a
(a + b) / (a - b) (a - b) + y ( a +b) = 2a
(a + b) + y ( a +b) = 2a
y ( a +b) = 2a - (a + b)
y ( a +b) = 2a - a - b
y ( a +b) = (a - b)
y = (a - b) / (a + b)