What is the best estimate for the sum of fractions 5//6 and 5/8

The answer is 25/24 or 1.041

Step-by-step explanation:

Given 5/6 and 5/8, you can't find the sum at that point. This means we will have to find a common denominator, which will be 24.

6 x 4 = 24 and 8 x 3 = 24

Doing this, you will have to multiply the numerator and denominator by the value the denominator needs to be multiplied by to get 24.

5/6 x 4/4 = 20/24 and 5/8 x 3/3 = 15/24

After getting these values, you can then add them.

20/24 + 15/24 = 25/24 or 1.041

{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