WILL GIVE BRAINLIEST The difference of two numbers is 4. Their sum is 12. What are the numbers?

^algebra^

#1). a - b=4

a=4 + b (equation 1)

#2) a + b=12

(4 + b) + b= 12

4 + b + b=12

4 + 2b=12

2b= 12 - 4

2b =8

b= 8:2

b=4

subtituted b in equation 1

a= 4 + b

a= 4 + 4

a=8

so, the number is 8 and 4

idn

step-by-step explanation:

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1