When s = 2/3, determine the value of 2s - 1/4

13/12

Step-by-step explanation:

2s - 1/4

s = 2/3

Plug s as 2/3 in the expression.

2(2/3) - 1/4

Multiply.

4/3 - 1/4

Find least common denominator.

(4 × 4)/(3 × 4) - (1 × 3)/(4 × 3)

16/12 - 3/12

Subtract fractions since denominators are same.

(16 - 3)/12

13/12

The value of the expression 2s - 1/4 when s = 2/3 is 13/12.

{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