Students Chaya and Nigel are solving the equation 4(x – 2) 1/2 = 16. The table shows the steps of their solutions. Which student(s) solve(s) the equation correctly, and why?

A. Both students solve the equation correctly even though they each use a different strategy.

B. Neither student solves the equation correctly because they both make mathematical errors.

C. Only Chaya solves the equation correctly because Nigel does not distribute the 4 between the Given and Step 1.

D. Only Nigel solves the equation correctly because Chaya should not distribute between the Given and Step 1.

180

step-by-step explanation:

12-2=10

20-2=18

18x10=180

f

step-by-step explanation:

f

{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

answer: 5100 just subtract

step-by-step explanation: