please help me with this
Answers
Answer:
I. 6x-1/8=1/4
: 6x-1=1/4×8
: 6x -1 =2
: 6x=2+1
: 6x = 3
: x =3/6
: x =1/2
ii .
(1). (6x-1)/8 = 1/4
=》(6x-1) = 8/4
=》(6x-1) = 2
=》6x = 2 + 1
=》6x = 3
=》 x = 3/6 = 1/2
=》 x = 1/2
(2). (8y+6)/2 = 3y -4
=》(8y+6) = 2(3y -4)
=》(8y+6) = 6y - 8
=》8y - 6y = -6 -8
=》2y = -14
=》y = -7
(3). (m/2) + (m/4) + (m/8) = 14
=》(4m/8) + (2m/8) + (m/8) = 14
=》(4m+2m+m)/8 = 14
=》(4m+2m+m) = 14*8
=》7m = 112
=》m = 112/7 =16
=》m = 16
(4). b + 7 - (8b/3) = (17/6) - (5b/8)
(3b+21-8b)/3 = (68-15b)/24 -------------taking
the L.C.M. of 6 & 8
=》(3b+21-8b) = {3*(68-15b)} / 24
=》21 - 5b = (68-15b)/8
=》8*(21 - 5b) = (68-15b)
=》168 - 40b = 68-15b
=》-40b + 15b = 68 - 168
=》-25b = -160
=》b = (-160)/(-25)
=》b = 32/5
now in order to check the answers in (1). put x = 1/2 in (6x-1)/8
we get {6*(1/2)-1)/8 = (3-1)/8 = 2/8 = 1/4 -------- this is left hand side of the equation i.e LHS
now clearly LHS is 1/4 and on right hand side of the equation we have 1/4
so LHS = RHS
so our solution is correct.
in this way we can check our answers in every question.
NOTE:::--- LAST WALA QUESTION KA SOLUTION SAYAD GALAT HAI, USKO AAP CHECK KAR LENA.