The sum of two numbers is −138. their difference is −2. find the numbers.

The value of these two (2) numbers are -70 and -68.

Translating the word problem into an algebraic expression, we have;

 ....equation 1

     ....equation 2

To find the value of x and y, we would solve the simultaneous equation by using the elimination method.

Subtracting eqn 2 from eqn 1, we have;

Next, we would solve for the value of x;

From eqn 2:

Substituting the value of y, we have;

Therefore, the value of the two numbers are -70 and -68.

Check:

x - y = -2

-70 - (-68) = -2

-70 + 68 = -2

-2 = -2

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The Answer is: The first number is -70 and the second number is -68.

Step-by-step explanation:

Let f = first number and s = second number.

The sum of both is -138:

f + s = -138

The difference is -2

f - s = -2

Solve for f:

f = -2 + s

f = s - 2

Substitute:

s - 2 + s = -138

2s = -136

s = -68, the second number

Solve for f:

f = s - 2

f = -68 - 2 = -70, the first number

Proof:

f + s = -138

-68 + (-70) = -138

-138 = -138

Then:

f - s = -2

-70 - (-68) = -2

-70 + 68 = -2

-2 = -2

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step-by-step explanation: