SOLUTION: Hello! I need help with this equation. Find a value for a so that the solution of the system is (6, - 1) y = 2/3x - 5 y = ax + 5 Thanks!

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Hello! I need help with this equation. Find a value for a so that the solution of the system is (6, - 1) y = 2/3x - 5 y = ax + 5 Thanks!      Log On


   

Question 1143520: Hello! I need help with this equation.
Find a value for a so that the solution of the system is (6, - 1)
y = 2/3x - 5
y = ax + 5
Thanks!
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
Take the second equation  y = ax + 5  and substitute x= 6,  y= -1  into it.


You will get


    -1 = a*6 + 5.


It implies


    -1 - 5 = 6a

    -6     = 6a

     a     = -6%2F6 = -1.      ANSWER

Solved.

The last step is to check if the solution is correct.

Do it on your own by substituting x= 6, y= -1 into each of the two original equations.