Question 93884
Question:

Find values for m and b so that the solution can be (-3,4).
5x+7y=b
mx+y=22

Answer:


You have two equations given...


5x + 7y = b
mx + y  = 22

Solution of this system of equation is given, that is (-3,4).

That means when you substitute x = -3  and y = 4 in these equations, these values will satisfy  the given equations.


==> 

5* (-3) + 7 * 4 = b -----------------(1)


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

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


==> 13 = b

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


==> -3m = 22 - 4


==> -3m = 18


==> m = {{{ 18/-3}}}



==> m = -6



So the values are, {{{ b = 13}}} and {{{ m = -6 }}}



Hope you found the explanation  useful.


Regards.



Praseena.