Answer:
The values of x= 10 and y = 2
Step-by-step explanation:
Assume [tex]x>y[/tex]
The first statement states that sum of two numbers, x and y, is 12
then, we can write this statement in algebraic expression:
[tex]x+y =12[/tex] ...[1]
The second statement states that the difference of x and two times y is 6.
we can write it as :
[tex]x -2y =6[/tex] ....[2]
Now, subtracting equations, we will eliminate x leaving an equation in y that we can solve:
⇒ [1]-[2] gives
[tex](x+y)-(x-2y) = 12-6[/tex]
or
[tex]x+y-x+2y = 6[/tex]
On simplify we get;
3y=6 or
y=2
Now, substitute the value of y=2 in equation [1] we get;
[tex]x+2=12[/tex]
On simplify, we get;
x =10
therefore, the values of x and y are, 10 and 2.
