Question

if (5x-3y)/(5y-3x)=3/4 ,the value of x:y is

Answer 1

( 5x - 3y ) / ( 5y - 3x ) = 3/4
   Cross multiplying the numbers in the left and right ,
 4 (5x - 3y) = 3 (5y - 3x)
  Opening the brackets ,
  20x - 12y = 15y - 9x
  Grouping like terms to one side ,
 20x + 9x = 15y + 12y
  29x = 27y
→ 29 * x = 27 * y
→ x / y = 27 / 29
→ x:y = 27:29

Answer 2

GIVEN,

$\frac{5X-3Y}{5Y-3X} =\frac{3}{4}$

TO FIND,

Value of x:y

SOLUTION,

solving the given equation,

$\frac{5X-3Y}{5Y-3X} =\frac{3}{4}$

cross multiplying,

$(5X-3Y)4= (5Y-3X)3\\\\multiplying\\\\20X-12Y =15Y- 9X$

bringing X variable on the left side and Y variable on the right side, we get,

20X+9X = 15Y+12Y

adding the values,

29x= 27y

∴$\frac{x}{y} =\frac{27}{29}$

HENCE THE VALUE OF THE GIVEN EXPRESSION IS X:Y = 27:29.