Question

3/4(x+1)+2/3(×-1)=3
Necesito la respuesta de esta ecuación

Answer 1

Respuesta:

x= 35/17

Explicación paso a paso:

3/4(x+1)+2/3(×-1)=3  ---->   (3/4)x+(3/4)+(2/3)x-(2/3)=3

(3/4)x+(3/4)+(2/3)x-(2/3)=3 ----->  (3/4 + 2/3)x+(3/4)-(2/3)=3

(3/4 + 2/3)x+(3/4)-(2/3)=3  ----->   (17/12)x+(1/12)=3

(17/12)x+(1/12)=3 ----->  (17/12)x = 3 - (1/12)

(17/12)x = 3 - (1/12) -----> (17/12)x = 35/12

(17/12)x = 35/12 ----> 17x = 35

17x=35  ----> x= 35 / 17

Comprobación:
3/4(x+1)+2/3(×-1)=3 ----> 3/4((35/17)+1)+2/3((35/17)-1)=3

3/4((35/17)+1)+2/3((35/17)-1)=3  ----> 3/4(52/17)+2/3(18/17)=3

3/4(52/17)+2/3(18/17)=3  ---->  (156/68)+(36/51)=3

(156/68)+(36/51)=3 ----> (39/17)+(12/17)=3

(39/17)+(12/17)=3 ----> 51/17=3 ----> 3 = 3