Question 63062
QUESTION:


Find values for m and b in the following system so that the solution to the system is (-3, 4).
5x + 7y = b
mx + y = 22

ANSWER:



Input the values x = -3 and y = 4 in the given equations.



==>5*-3 + 7*4 = b


   m*-3 + 4 = 22



==> -15 + 28  = b  ------------(1)



    -3m + 4   = 22 -------------(2)



(1)  ==>  -15 + 28  = b



     ==>   13 = b



(2)  ==> -3m = 22 -4


     ==> -3m = 18


Divide both sides by -3



     ==>  -3m/-3 =  18/-3


     ==>    m  = -6



So the values are  m = -6 and  b = 13



Hope you understood.



Regards.

praseenakos@yahoo.co.in