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]