Question

1/4 + 2/5x = 3/4 + x/2

Answer 1

Calcular el valor de x en la siguiente ecuación dada:

1/4 + 2/5x = 3/4 + x/2
1/4 + 2x/5 = 3/4 + x/2
(5 + 8x)/20 = (3 + 2x)/4
4 (5 + 8x) = 20 (3 + 2x)
20 + 32x = 60 + 40x
32x - 40x = 60 - 20
- 8x = 40
x = 40/-8
x = - 5

Rpt. El valor de x es - 5


COMPROBAMOS LA SOLUCIÓN.
1/4 + 2/5x = 3/4 + x/2
1/4 + 2x/5 = 3/4 + x/2
1/4 + 2 (- 5)/5 = 3/4 + (- 5/2)
1/4 - 10/5 = 3/4 - 5/2
1/4 - 2 = (3 - 10)/4
(- 2 * 4 + 1)/4 = - 7/4
(- 8 + 1)/4 = - 7/4
- 7/4 = - 7/4

LISTO°