PLEASE HELP ASAP!

What are the solutions to the system?
y = x^2 - 6x +7
y = -x + 13

A. (-1, 14) and (6, 7)

B. (-1, 7) and (6, 14)

C. (-1, 13) and (6, 7)

D. no solution

1.two more than the quotient of a number and 6 is equal to 7 use the c for the unknown number translate the sentence into an equation

Which of the points a(6, 2), b(0, 0), c(3, 2), d(−12, 8), e(−12, −8) belong to the graph of direct variation y= 2/3 x?

Lizette is training for a marathon. at 7: 00 she left her house and ran until 8: 30, then she walked until 11: 30. she covered a total distance of 18 miles. her running speed was six miles per hour faster than her walking speed. find her running and walking speeds in miles per hour.