SOLUTION: In the xy-coordinate system ,if (a,b) and (a+3,b+k) are the two points lie on the equation x=3y-7 then k=?
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Question 1036283: In the xy-coordinate system ,if (a,b) and (a+3,b+k) are the two points lie on the equation x=3y-7 then k=? Found 2 solutions by Aldorozos, MathTherapy:Answer by Aldorozos(172) (Show Source):
You can put this solution on YOUR website! If the points lie on the question then we can substitute x and y with the coordinates of the points
a=3b-7
a+3 = 3(b+k)-7
here we have two equations and three unknowns. These unknowns are a, b and k. To find exactly what these numbers are we need a third points. Considering that we are given only two points, then we can not find any numbers for these three values. However, we can calculate the value of k based on the value of a or b. The easiest way is to calculate the value of k in terms of b. We know that a=3b-7. We replace a in the second equation with 3b-7 and find the value of k based on b
3b-7 = 3(b+k)-7 Therefore 3b-7 = 3b-3k-7 If we solve this problem, k = 0 In this unique case the value of k is independent from b.
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