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

Question

This has been killin me.

Answer 1

x+y = 14
x-y = -24
2x = -10
x = -5
-5 + y = 14
y = 19

Answer 2

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.

Answer 3

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
.

Answer 4

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

Answer 5

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

Answer 6

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)

Answer 7

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

Answer 8

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

Answer 9

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.

Answer 10

x + y = 14
x - y = -24

2x = -10
x = -5

-5 + y = 14
y = 19

-5 and 19