SOLUTION: Find B - A if the graph of Ax + By = 7 passes through (2,1) and is parallel to the graph of 2x

SOLUTION: Find B - A if the graph of Ax + By = 7 passes through (2,1) and is parallel to the graph of 2x - 7y = 3.

Question 1068385: Find B - A if the graph of Ax + By = 7 passes through (2,1) and is parallel to the graph of 2x - 7y = 3.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find B - A if the graph of Ax + By = 7 passes through (2,1) and is parallel to the graph of 2x - 7y = 3.
The given line has slope = 2/7
Form Ax + By = 7
y = (-A/B)x + (7/B)
-----
y = mx + b
1 = (2/7)2+b
b = 3/7
y = (2/7)x + (3/7)
-------
Equations:
-A/B = 2/7
7/B = 3/7
B = 49/3
----
-A/(49/3) = 2/7
-A = 7(2/3
A = -14/3
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Cheers,
Stan H.
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