Michael walks his black lab 1 2/3 miles on Mondays, Wednesday's, Friday's, and Sunday's. He walks his poodle 1/6 of a mile on Tuesdays, Thursdays, and Saturdays. How many total miles does Michael walk his dogs each week?

Total for the week T;

T = 20/3 + 3/6 = 40/6 + 3/6 = 43/6 miles

T = 7.17 miles

Step-by-step explanation:

Given;

Michael walks his black lab 1 2/3 miles on Mondays, Wednesday's, Friday's, and Sunday's.

On four days = 1 2/3 = 5/3 miles per day

Total for the 4 days = 4 × 5/3 = 20/3 miles

He walks his poodle 1/6 of a mile on Tuesdays, Thursdays, and Saturdays

On 3 days = 1/6 miles per day

Total for the 3 days = 3 × 1/6 = 3/6 miles

Total for the week T;

T = 20/3 + 3/6 = 40/6 + 3/6 = 43/6 miles

T = 7.17 miles

{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