Question

Sabendo q U=Q, obtenha o valor da incógnita. a)2m-7/5-m/10=1/2. b)y/2+y/3=3y/4-6. c)3y/2-3/4=1-2y

Answer 1

a) 2m-7 : 5-m : 10= 1:2.
    
2m-7  = 1  ==> (2m - 7 ) .1  =  1 
5-m       2          (5- m)     10    2
 10

2m - 7  =  1 ==> 2(2m - 7) = 1(50 - 10m )
50 - 10m  2  

4m - 14 = 50 - 10m ==> 4m + 10m = 50 + 14 ==> 14m = 64 ==> m = 64/14
==========================================================
b) y + y = 3y - 6.       mmc(2,3,4) = 12
    2    3     4

6y + 4y = 9y - 72 ==> 10y - 9y = - 72 ==> y = - 72
=========================================================
c) 3y - 3 = 1 - 2y      mmc(2,4) = 4
     2    4

6y - 3 = 4 - 8y ==> 6y + 8y = 4 + 3 ==> 14y = 7 ==> y = 7/14