-6 (p + 8) = -35 + 7p

p = −1

Step-by-step explanation:

1. Regroup terms.

−6 (p + 8) = 7p − 35

2. Expand.

−6p − 48 = 7p − 35

3. Add 6p to both sides.

−48 = 7p − 35 + 6p

4. Simplify 7p − 35 + 6p to 13p −35.

−48 = 13p − 35

5. Add 35 to both sides.

−48 + 35 = 13p

6. Simplify −48 + 35 to −13.

−13 = 13p

7. Divide both sides by 13.

−1 = p

8. Switch sides.

p = −1

eve and marks ratios are equivalent

step-by-step explanation:

{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