Find the value of B - A if the graph of Ax + By = 3 passes through the point (7,-2) and is parallel to the graph of x + 3y = -5.

Thank you for helping me!

Guest Aug 11, 2020

#1**+3 **

We have Ax + By = 3 (1)

If this passes through (7, -2) then 7A - 2B = 3 (2)

We can rearrange equation (1) in the form y = -(A/B)x + 3/B The slope of this equation is -A/B

The equation x + 3y = -5 can be rearranged as y = -(1/3)x -5/3 the slope of which is -1/3

For the two lines to be parallel the slopes must be the same, hence -A/B = -1/3 (3)

Now you have two equations ((2) and (3)) that can be solved for A and B.

Can you take it from here?

Alan Aug 12, 2020