Question

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

d + e = 12
−d + e = −8

Label the ordered pair as (d, e). (4 points)

(0, 0)
(2, 10)
(10, 2)
(12, 0)

Answer 1

• The ordered pair as (d, e) is (10, 2).

Explanation:

Given that:

• d + e = 12 ______(i)
• - d + e = - 8 ______(ii)

To Label:

• The ordered pair as (d, e).

Adding equation (i) and (ii).

⟶ d + e + (- d + e) = 12 + (- 8)

⟶ d + e + - d + e = 12 - 8

Cancelling d.

⟶ 2e = 4

⟶ 2e = 2 × 2

Cancelling 2.

⟶ e = 2

In equation (i)

⟶ d + e = 12

Putting the value of e.

⟶ d + 2 = 12

⟶ d = 12 - 2

⟶ d = 10

Hence,

• The ordered pair as (d, e) = (10, 2)

Answer 2

9514 1404 393

Answer:

(c) (10, 2)

Explanation:

Adding the two equations, we have ...

(d +e) +(-d +e) = (12) +(-8)

2e = 4

e = 2 . . . . . . matches choice C

(d, e) = (10, 2)