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We write to expressions since there are two unknown here which is x and y. The first expression is the sum of two numbers, x and y, is 12.

x + y = 12

The second expression is that the difference of x and two times y is 6.

x -2y = 6

Therefore, the values of x and y are 10 and 2.

Answer:

The values of x= 10 and y = 2

Step-by-step explanation:

Assume \(x>y\)

The first statement states that sum of two numbers,  x and y, is 12

then, we can write this statement in algebraic expression:

\(x+y =12\)   ...[1]

The second statement states that the difference of x and two times y is 6.

we can write it as :

\(x -2y =6\)    ....[2]

Now, subtracting equations, we  will eliminate x leaving an equation in y that we can solve:

⇒ [1]-[2] gives

\((x+y)-(x-2y) = 12-6\)

or

\(x+y-x+2y = 6\)

On simplify we get;

3y=6 or

y=2

Now, substitute the value of y=2 in equation [1] we get;

\(x+2=12\)

On simplify, we get;

x =10

therefore, the values of  x and y are, 10 and 2.




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