(08.01)consider the following system of equations: y = 5x + 6 y = −x − 7 which description best describes the solution to the system of equations?

If you want an answer to question: You can make the equations equal to each other and solve for x. So, since the y values are the same, we can do 
(+x)5x+6 = -x-7. (+x)
(-6)6x+6= -7(-6)
  (1/6) x 6x= -13 x (1/6)
x= -13/6
Substitute −13/6 for x in y=5x+6:
y=5x(−13/6) + 6
y = -29/ 6.
y= -29/6  and x= -13/6