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egoroff_w [7]
3 years ago
13

Son proporciones. cual es el resultado de :x/2,5=y/5 si x+y=6

Mathematics
1 answer:
omeli [17]3 years ago
7 0

Respuesta: x/2,5=y/5=4/5=0,8


x/2,5=y/5

Multiplicando ambos lados de la ecuación por 5:

5(x/2,5)=5(y/5)→2x=y→y=2x

Sustituyendo y por 2x en la ecuación x+y=6:

x+2x=6

Resolviendo para x: Sumando términos semejantes:

3x=6

Dividiendo ambos lados de la ecuación entre 3:

3x/3=6/3

x=2

Sustituyendo x por 2 en la formula y=2x

y=2(2)→y=4

Determinando la proporción:

x/2,5. Sustituyendo x por 2:

2/2,5

Multiplicando numerador y denominador por 2:

2*2/(2,5*2)=4/5

La proporción es 4/5=0,8

Si lo hacemos con y:

y/5

Reemplazando y por 4:

4/5=0,8 (la misma proporción)


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