Three-fifths of the sum K and 6 plus the product of 8 and x

Answer

3/5=k6+8x

Step-by-step explanation:

Simplifying

2(k + -5) + 3k = k + 6

Reorder the terms:

2(-5 + k) + 3k = k + 6

(-5 * 2 + k * 2) + 3k = k + 6

(-10 + 2k) + 3k = k + 6

Combine like terms: 2k + 3k = 5k

-10 + 5k = k + 6

Reorder the terms:

-10 + 5k = 6 + k

Solving

-10 + 5k = 6 + k

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-1k' to each side of the equation.

-10 + 5k + -1k = 6 + k + -1k

Combine like terms: 5k + -1k = 4k

-10 + 4k = 6 + k + -1k

Combine like terms: k + -1k = 0

-10 + 4k = 6 + 0

-10 + 4k = 6

Add '10' to each side of the equation.

-10 + 10 + 4k = 6 + 10

Combine like terms: -10 + 10 = 0

0 + 4k = 6 + 10

4k = 6 + 10

Combine like terms: 6 + 10 = 16

4k = 16

Divide each side by '4'.

k = 4

Simplifying

k = 4

{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