SOLUTION: Two perpendicular lines intersect at point (9,2). If the x-intercept of one line is double the x-intercept of the other, find the possible sum(s) of these x- intercepts.

Question 186465: Two perpendicular lines intersect at point (9,2). If the x-intercept of one line is double the x-intercept of the other, find the possible sum(s) of these x- intercepts.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
One line would be

The other line would be

and are the y-intercepts
------------------------
Let the x-intercepts be and
at the x-intercepts, so

and

Substituting:

this is the answer
Suppose the slopes of the lines are

and the solution is (9,2)
the equations are:

1st equation
and

2nd equation
Setting in both will find the x-intercepts

and

Multiply both sides by

OK

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