Question 65655: 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 by praseenakos@yahoo.com(507)   (Show Source):
You can put this solution on YOUR website! 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.
praseenakos@yahoo.co.in
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