Question 67399
Find the values of m and b in the following given that a solution is (-3, 4)
5x+7y = b Substitute the x- and y-coordinates of the givenpoint (-3, 4) and solve for b.
5(-3) + 7(4) = b Simplify.
-15 + 28 = b
13 = b

mx + y = 22 As above, substitute the x- and y-coordinates of the given point and solve for m.
m(-3) + 4 = 22
-3m + 4 = 22 Subtract 4 from both sides.
-3m = 18 Divide both sides by -3.
m = -6