Respuesta :

kevinbentch

Answer:

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

Hope this helps! Have an Awesome Day!! :-)

Lanuel

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

  • Let the two number be x and y respectively.

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

[tex]x \; + \; y = -138[/tex]  ....equation 1

[tex]x \; - \; y = -2[/tex]      ....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;

[tex](x \; - \; x) + (y \; - [-y]) = (-138 \; - [-2])\\\\y \; + \; y = -138 \; + 2\\\\2y = -136\\\\y = \frac{-136}{2} \\\\y = -68[/tex]

Next, we would solve for the value of x;

From eqn 2:

[tex]x \; - \; y = -2[/tex]

Substituting the value of y, we have;

[tex]x \; - (-68) = -2\\\\x \; + \; 68 = -2\\\\x = -2 \; - \; 68\\x = -70[/tex]

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

Check:

x - y = -2

-70 - (-68) = -2

-70 + 68 = -2

-2 = -2

Find a similar solution here: https://brainly.com/question/21527425

Otras preguntas