The value of difference of x and y (x-y) when ratio x : y is 5 : 3 and addition x + y is 56, is 14.
Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used to represent the general problem in the mathematical way to solve them.
The ratio of x and y is given as,
[tex]\dfrac{x}{y}=\dfrac{5}{3}\\x=\dfrac{5y}{3}\\[/tex] ....1
The addition of the x and y is given as,
[tex]x + y = 56[/tex]
Put the value of x in the above equation as,
[tex]\dfrac{5y}{3}+ y = 56\\\dfrac{5y+3y}{3} = 56\\8y=56\times3\\y=\dfrac{56\times3}{8}\\y=21[/tex]
Put this value of y in equation 1,
[tex]x=\dfrac{5\times21}{3}\\x=35[/tex]
Thus, the value of x-y is,
[tex]x-y=35-21\\x-y=14[/tex]
Thus, the value of difference of x and y (x-y) when ratio x : y is 5 : 3 and addition x + y is 56, is 14.
Learn more about the algebraic expression here;
https://brainly.com/question/2164351
#SPJ3
