Question

x-2/3 + x-3/4 = x-1/2.

PLEASE SOLVE THIS​

Answer 1

Step-by-step explanation:

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

=>2x+(-8-9)/12=x-1/2

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

=>2x-17/12=x-1/2

=>2x-x= -1/2+17/12

=>x= (-6+17)/12

=>x= 11/12

Answer 2

Solution :-

${\sf{\implies{ \cfrac{x - 2}{3} + \cfrac{x - 3}{4} = \cfrac{x - 1}{2} }}}$

${\sf{\implies{ \cfrac{4(x - 2)}{3 \times 4} + \cfrac{3(x - 3)}{4 \times 3} = \cfrac{x - 1}{2} }}}$

${\sf{\implies{ \cfrac{4x - 8}{12} + \cfrac{3x - 9}{12} = \cfrac{x - 1}{2} }}}$

${\sf{\implies{ \cfrac{4x - 8 + 3x - 9 }{12} = \cfrac{x - 1}{2} }}}$

${\sf{\implies{ \cfrac{4x + 3x - 8- 9 }{12} = \cfrac{x - 1}{2} }}}$

${\sf{\implies{ \cfrac{7x - 17 }{12} = \cfrac{x - 1}{2} }}}$

$\\ {\sf{\implies{2 (7x - 17) = 12(x - 1)}}}$

$\\ {\sf{\implies{14x - 34 = 12x -12}}}$

$\\ {\sf{\implies{14x - 12x = 34 -12}}}$

$\\ {\sf{\implies{2x = 22}}}$

${\sf{\implies{x = \cfrac{22}{2} }}}$

${ \Large{ \underline{ \boxed{ \red{\sf{\implies{x = 11 }}}}}}}$