Question

find the two numbers whose sum is -12 and their difference is -2​

Answer 1

The two numbers are -7 and -5.

Step-by-step explanation:

Let the two numbers be x and y.

The information provided is:

x + y = -12...(i)

x - y = -2...(ii)

Add the two equations and solve for x as follows:

x + y = -12

x -  y = - 2

________

2x = -14

x = -7

Substitute x = - 7 in (i) and solve for y as follows:

x + y = - 12

- 7 + y = - 12

y = -12 + 7

y = - 5

Thus, the two numbers are -7 and -5.

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Answer 2

AnswEr:

Let us Consider that the First Number be x.

And, second Number be y.

$\dag\bold{\underline{\sf{\red{According\;to\; Question\;Now,}}}}$

$:\implies\sf\; x + y = -12$ ---------Eq(1)

$:\implies\sf\;x - y = -2$ ----------Eq(2)

From Equations (1) & (2)

$:\implies\sf\; 2x = -14$

$:\implies\sf\; x = \; \dfrac{-14}{2}$

$:\implies\large{\underline{\boxed{\sf{\red{x \; = \; -7}}}}}$

$\rule{200}2$

Now, Substituting the Value of x in Eq (1)

$:\implies\sf\; x + y = -12$

$:\implies\sf\; -7 + y = -12$

$:\implies\sf\; y = -12 + 7$

$:\implies\large{\underline{\boxed{\sf{\red{y \; = \; - 5}}}}}$

So, The Numbers are - 7 & -5.