Question 65655
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:




Solution of a system of equation means the set of values which satisfies the 
system of equations.





Here the system of equations are in two variables, that is in x and y.





Now substitute these values x=-3 and y = 4 in the given system of equations.




Then the equations become,




5*-3  +  7*4  = b	


==>  -15 + 28 = b


==>   13 = b






m*-3  +  4   = 22



==> -3m + 4 = 22



==> -3m = 22-4



==> -3m = 18



==>  m = 18/-3





==> m = -5



So the values are,


m = -5

b = 13




Hope you understood.



Regards.



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