x/4 + y/2 = -2
x/3 – y/5 = 2
Respuestas a la pregunta
Respuesta:
Espero que te ayude.
Explicación paso a paso:
Respuesta:
Solución : x = 12/11 ; y = -90/11
x/4 + y/2 = -2
x/3 - y/5 = 2
Método de Sustitución :
1 ) Despejo " y " en " x/3 - y/5 = 2 " :
x/3-y/5 = 2
x/3-y/5-x/3 = 2-x/3
- y/5 = 2 - x/3
3(-y) = 5(2-x)
-3y = 10-5x
-(-3y) = -(10-5x)
3y = -10+5x
3y/3 = (-10+5x)/3
y = (-10+5x)/3
2) Reemplazo " y = (-10+5x)/3 " en " x/4 +y/2 = -2 " :
x/4+(-10+5x)/2 = -2 ; m.c.m(2,4) = 4
4(x/4)+4((-10+5x)/2) = 4(-2)
x+2(-10+5x) = -8
x+(-20+10x) = 8
x-20+10x = -8
11x - 20 = -8
11x-20+20 = -8+20
11x = 12
11x/11 = 12/11
x = 12/11
3) Sustituyo " x = 12/11 " en " x/3-y/5 = 2 " :
(12/11)/3 - y/5 = 2
(12)/(11×3)-y/5 = 2
12/33- y/5 = 2 ; 12/33 = 4/11
4/11-y/5 = 2 ; 2 = 22/11
4/11-y/5 = 22/11
4/11-y/5-4/11 = 22/11-4/11
-y/5 = 18/11
-11y = 90
-11y/-1 = 90/-1
11y = -90
11y/11 = -90/11
y = -90/11
Explicación paso a paso: