Question

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).

Answer 1

The solution is
`(3, -2)`

Explanation:

We have the following system of equations

Equation 1)
`d + e = 1`

Equation 2)
`-d + e = -5`

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

`d + e = 1`

+

`-d + e = -5`

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

`0d + 2e = -4`

`e = -2`

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

`d + (-2) = 1\\\\d = 3`

Therefore the solution of the system is the ordered pair

`(3, -2)`