Question

Will mark brainless

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?

Answer 1

Explanation:

y = 3x + 2

6x – 2y = 10

Ryan’s answer:

I solved by adding the equations. The solution is .

y = 3x + 2 → 3x + y = 2

6x – 2y = 10 → 3x – y = 5

6x = 7

x =

6x – 2y = 10 → 6 – 2y = 10

7 – 2y = 10

–2y = –3

y = -

Jesse’s answer:

I used matrices. The solution is .

Mark’s answer:

I graphed the equations. The lines are parallel and do not intersect, so there is no solution.