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)

9514 1404 393

  (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)

Step-by-step explanation:

Given that:

To Label:

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,

answer: it's a

step-by-step explanation:

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x