How much closer is it to travel from Aurora to Clifton directly than from Aurora to Clifton through Burlington?

Step-by-step explanation:

I assume what we are asked here are the number of hours it will take each of them to reach Clifton. Given that the distance from Clifton to Burlington is 65 miles and that from Clifton to Aurora is 95 miles, the distance from Burlington to Aurora, x, is calculated through the equation below,

                      97² = x² + 65²

The value of x from the equation is 72 miles. 

               Clyde:   97 miles / (25 miles / hour) = 3.88 hours

                Minnie: (65 miles + 72 miles) / (30 miles / hour) = 4.57 hours

Therefore, Clyde reached Clifton first. 

hope this helps you bby~

{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

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