Question

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

Answer 1

9514 1404 393

Answer:

  (c)  (10, 2)

Step-by-step explanation:

Adding the two equations, we have ...

  (d +e) +(-d +e) = (12) +(-8)

  2e = 4

  e = 2 . . . . . . matches choice C

  (d, e) = (10, 2)

Answer 2

Answer:

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

Step-by-step 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)