The sum of 2 integers is 14, Their difference is -24, what are the two integers?

x+y = 14

x-y = -24

2x = -10

x = -5

-5 + y = 14

y = 19

Let the integers be x and y.

x+y = 14 ---(1)

x-y = -24 ---(2)

(1)+(2):

2x = -10

x = -5

Sub x=-5 into (1),

x+y = 14

-5 + y = 14

y = 14+5

y = 19

The two integers are -5 and 19.

Let x be one integer and y the other

x + y = 14

y = 14 - x

x - y = -24

Substute in the value for y

x - (14 - x) = -24

2x - 14 = -24

x = -5

-5 + y = 14

y = 19

.

x + y = 14; x - y = -24

let y = 14 - x

x - (14 - x) = -24

x - 14 + x = -24

2x = -24 + 14

2 x = -10

x = -5

to get y

y = 14 - x

y = 14 - (-5)

y = 14 + 5

y = 19

Therefore the two integers are - 5 and 19

You need to set up simultaneous equations. For the unknown quantities I shall use x and y.

From the question we have:

x + y = 14 (equation 1)

and

x - y = -24 (equation 2)

Add those two together and you get:

x + y + x - y = -10

tidy it up:

2x = -10

therefore

x = -5

plug that into equation 1:

-5 + y = 14

Therefore

y = 19

so x = -5 and y = 19

let the two integers be x and y.

then x+y=14 ------(1)

x-y=-24 --------(2)

(1)+(2) gives,

2x=14-24=-10

i.e.x=-5

Substitute this value in (1) we get,

-5+y=14

i.e. y=14+5=19

Therefor the two integers are -5 and 19.

(You can check this by substituting values to the equations)

x + y = 14 ----- (1)

x - y = -24 -----(2)

solve the system of equation

(1) + (2)

2x = 14 - 24 = -10

x = -5

y = 14 - (-5) = 19

x + y = 14

x - y = -24

2x = -10

x = -5

Since x = -5, y = 19

Now we will check our numbers

Sum is 14 Difference is -24

-5 + 19 = 14, and -5 - 19 = -24

let the first be x and the second be y

x + y = 14

x - y = -24

Add both equations together:

2x=-10

x = -5

substitute into both equations:

-5 + y =14

y = 19

-5 - y = -24

-y = -19

y = 19

-5, 19 answer.

x + y = 14

x - y = -24

2x = -10

x = -5

-5 + y = 14

y = 19

-5 and 19