SOLUTION: For which value of A will the lines be perpendicular? Find the intersection of the lines after you have found A Ax+2y=1 2x-3y=-5

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Question 875093: For which value of A will the lines be perpendicular? Find the intersection of the lines after you have found A
Ax+2y=1
2x-3y=-5
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Using knowledge of Standard Form of a linear equation, the known second equation has slope 2%2F3. A line perpendicular to the equation has a slope -3%2F2.

Wanting the first equation to be perpendicular to the second known equation, you want -A%2F2=-3%2F2;
A%2F2=3%2F2
highlight%28A=3%29.

The second Question:
3%283x%2B2y%29%2B2%282x-3y%29=3%2A1%2B2%2A%28-5%29, a start for Elimination Method.
13x=-7
highlight%28x=-7%2F13%29.
-
2y=1-3x
y=1%2F2-3x%2F2
y=1%2F2%2B3%287%2F13%29%2F2
y=1%2F2%2B21%2F26=13%2F26%2B21%2F26=34%2F26=17%2F13
highlight%28y=17%2F13%29.