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Data Sufficiency (DS) | Re: On the x-y coordinate plane, lines j and k intersect

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GMATPrepNow wrote:

On the x-y coordinate plane, lines j and k intersect at one point.
If the equation of line j is bx + ay = 5, and the equation of line k is 2bx - 3ay = -5, what is the value of a + b?

(1) Lines j and k intersect at (1, -3).
(2) a - b = -3

*kudos for all correct solutions


Statement 1 :- Lines j and k intersect at (1, -3).

Use (1,-3) in the two given equation .
1st Equation:- bx + ay = 5
b - 3a = 5.

2nd Equation:- 2bx - 3ay = -5
2b(1) - 3a(-3) =
...

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