David biked 12 7/8 miles on Tuesday and 5 3/8 miles on Wednesday. How much farther did David bike on Tuesday than on Wednesday please give me correct answer.

7 miles

Step-by-step explanation:

The problem above is under the topic, "Subtracting Mixed Numbers with Similar Fractions."

In order to find the answer, you have to subtract the whole number parts first.

12-5 = 7

Then, you have to subtract the fractional parts. All you have to do is to get the difference of the numerators and copy the denominator.

7/8 - 3/8 =

Therefore, 12 - 5 = 7 miles

Let's simplify: 7 miles

David biked 7 miles farther on Tuesday than on Wednesday.

{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