“The captain of a rafting boat takes his crew down river for 6 hours, covering a total of 56 miles. When he realizes
he left one of his passengers behind, he is forced to paddle back upriver for 8 miles. The trip back up took him 3
hours."
A student used the following system of equations to model the situation given above. Which of the statements is
true about the system of equations the student used?
b = the speed of the boat
r = the speed of the current
8(6-r) = 3
16(6+r) = 56
A. The system of equations the student used is correct.
B. The top equation in the system is incorrect.
C. The bottom equation in the system is incorrect.
D. Both equations in the system are incorrect
Please select the best answer from the choices provided

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

13.46

step-by-step explanation:

16.80 x .20 = 13.46