X: y = 5:3 and x + y = 56
Work out the value of
х-у

Given X:Y is 5:3 and X+ Y =56 then:

From first statement::

     X/Y = 5/3. Thus X - Y x(5 /3)

Inserting X in the second statement:

                           X + Y = 56 then becomes {Y x (5/3) +Y} = 56

Adding all the Y's we have: (1+ 5/3) x Y = 56 or

           8/5 x Y = 56

Thus Y = 56 x (5/8). And knowing that 56 = 7 x 8.

This results in Y = (7x8) x 5/8 = 35

Then: X = 56 - Y = 21

X : y = 5 : 3 and x + y = 56

3x=5y and x + y = 56

3x=5y and  x=56-y

3(56-y)=5y and  x=56-y

168-3y=5y and  x=56-y

168=8y and  x=56-y

y=168/8 and  x=56-y

y=21 and  x=56-y

y=21 and x=35

x=35

y=21

Step-by-step explanation:

the function makes a strait line horizontally with no x intercept but a y intercept at 9.