The sum of two numbers is 12. their difference is 2. find the numbers

The numbers are 7 and 5.

Step-by-step explanation:

Let two  unknown numbers be x and y .

Assume  .

The first expression is given : The sum of two numbers is 12.

we have,

x+y =12      ...[1]

The second expression  states that : The difference of  two numbers is 2 , i.e,

we have;

x- y =2      .....[2]

Now, adding the equations, term by term on both sides,  we will eliminate y leaving an equation in x that we can solve:

then,  [1]+[2] gives

Simplify we get;

⇒

Substitute the value of  x =7 in equation [1];

On simplify, we get;

y = 5.

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)