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an equation is shown below:

5(2x - 8) + 15 = -15

write the steps you will use to solve the equation and explain each step. (5 points)

Your answer is x = 1

Step-by-step explanation:

First start by distributing 5 to everything in the parenthesis.

5 * 2x = 10x

5 * -8 = -40

What you're left with is 10x - 40 + 15 = -15

Next subtract 15 from both sides.

10x - 40 + 15 - 15

The 15's will cancel each other out on the left side.

-15 - 15 = -30

What you're left with is 10x - 40 = -30

Next add 40 to both sides.

10x - 40 + 40

The 40's will cancel each other out on the left side

-30 + 40 = 10

What you're left with is 10x = 10

Divide both sides by 10 to get x by itself.

10x / 10 = x

10 / 10 = 1

What you're left with is x = 1

answer: d. $20

step-by-step explanation:

just took the test

{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