Question

2 numbers add together to make -4 but subtract to make 8 what are the 2 numbers

Answer 1

The two numbers are 2 and -6. This solution was found by setting up a system of equations, solving for one variable, and then substituting back into the original equation.

Step-by-step explanation:

To find two numbers that add to make -4 and subtract to make 8, we can set up a system of equations based on the rules of addition and subtraction:

• x + y = -4
• x - y = 8

Adding these two equations together, we get:

• 2x = 4
• x = 2

Now we can substitute x = 2 into the first equation:

• 2 + y = -4
• y = -4 - 2
• y = -6

The two numbers are 2 and -6. The rules used in this process include changing the sign of the subtracted number and then following the addition rules, where the sign of the larger number becomes the sign of the answer and the absolute values of the numbers are added or subtracted accordingly.

Answer 2

x=2 and y= ‐6

Step-by-step explanation:

Let the two numbers be 'x' and 'y'

Here, it says two numbers add up to make -4

So,

x+y= ‐4 .....equation (i)

Also, its says two numbers subtract to make 8

So,

x‐y=8 .....equation (ii)

We have,

x+y= ‐4 .....equation (i)

x‐y=8 .....equation (ii)

Subtracting equation (i) from equation (ii)

x‐y=8

x+y=‐4

-----------

‐2y=12

y=12/‐2

y= ‐6

Now, replacing value of x in equation (i)

x+y= -4

4x+(‐6) = -4

4x‐6= ‐4

x= -4+6

x= 2

Therefore the unknown numbers are 2 and ‐6