Answer: [tex]x-y = 1[/tex]
Step-by-step explanation:
Given:
[tex]3x + 2y = 8[/tex]
since x is twice the value of y , this means that :
[tex]x = 2y[/tex] .......................... **
we will the substitute it into the main equation , that is we will substitute 2y in place of x. so the equation becomes :
[tex]3(2y) + 2y = 8[/tex]
[tex]6y + 2y = 8[/tex]
[tex]8y = 8[/tex]
divide through by 8
[tex]y = 1[/tex]
substitute y = 1 into equation ** , that is
[tex]x = 2(1)[/tex]
[tex]x = 2[/tex]
this means that :
[tex]x = 2[/tex] and [tex]y = 1[/tex] , so
[tex]x - y = 2 -1[/tex]
[tex]x-y = 1[/tex]
