In one day anne traveled five times the sum of the number of hours brian traveled and two. together they travel 20 hours find the number of hours each person traveled

Let the number of hours Brian travelled = X
Then the number of hours Anne traveled = 5X + 2
Since they together travelled 20 hours, then
X + ( 5X + 2) = 20
X + 5X + 2 = 20
6X + 2 = 20
6X = 20 - 2
6X = 18
X = 18/6
   = 3 hours.
So brian travels for a period of 3 hours.
Now the number of hours Anne travelled = 5X +2
                                                                 = (5 * 3) + 2
                                                                 = 15 + 2
                                                                 = 17 hours.
 

x = 6/7

Step-by-step explanation:

14x - 8 = 4

Add 8 to both sides.

14x = 12

Divide both sides by 14.

x = 12/14.

Simplify

x = 6/7

Proof:

14x - 8 = 4

Substitute variable.

14(6/7) - 8 = 4

Multiply.

12 - 8 = 4

Subtract.

4 = 4.