Ryan, jessica, and mark each solved this system of equations. all of their answers are different. find and explain the mistakes. what is the correct answer?

y = 3x + 2
6x – 2y = 10

ryan’s
ryan solved by adding the equations. he says the solution is ((7)/()/(2))

y = 3x + 2 →
3x + y = 2
6x – 2y = 10 →
3x – y = 5

6x = 7

y= - 3/2

jesse’s
jesse used matrices. she says the solution is ((7)/()/(2))

[the rest of jesse's problem is posted below along with mark's graph]

mark’s
he graphed the equations. the lines are parallel and do not intersect, so there is no solution.

[mark's graph is posted along with the rest of jesse's problem]

explain what each student did wrong in each

answer:

ryan's answer is correct.

step-by-step explanation:

he just really seems like a trustworthy guy.

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew

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