Question

Help please i’ve never done it with negative numbers so it’s a little more confusing just need explanation

Answer 1

To answer this question, we need to pose the problem algebraically as follows:

1. The sum of two numbers is -29:

`x+y=-29`

2. The difference of the two numbers is -13:

`x-y=-13`

Then, we have a linear system of equations, and we can solve it by elimination, substitution, as the most suitable for this case. Then, we have that we can sum both equations and we get:

Thus, we have that the value for x = -21. We can use the first equation to substitute this value of x to find the value for y. Then, we have:

`x+y=-29\Rightarrow-21+y=-29\Rightarrow y=-29+21\Rightarrow y=-8`

Therefore, the two numbers are -21 and -8.

We can check this as follows:

1. -21 + (-8)= -21 -8 = -29

2.-21 -(-8) = -21 + 8 = -13