Question 4(Multiple Choice Worth 4 points)

(08.03)Solve the system of equations and choose the correct answer from the list of options.

d + e = 1
−d + e = −5

Label the ordered pair as (d, e).

Respuesta :

Answer:

The solution is [tex](3, -2)[/tex]

Step-by-step explanation:

We have the following system of equations

Equation 1) [tex]d + e = 1[/tex]

Equation 2) [tex]-d + e = -5[/tex]

To solve the system of equations add equation 1 with equation 2 and solve for variable e.

[tex]d + e = 1[/tex]

       +

[tex]-d + e = -5[/tex]

--------------------------

[tex]0d + 2e = -4[/tex]

[tex]e = -2[/tex]

Now substitute the value of e in equation 1 or equation 2 and solve for d.

[tex]d + (-2) = 1\\\\d = 3[/tex]

Therefore the solution of the system is the ordered pair

[tex](3, -2)[/tex]