book Maths Puzzle Numerical Ability

The type of conic section whose equation is defined by :
4x.x+12x.y+9y.y-52x+26y-81=0

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directions:solve problems using two unkowns and a system of two equations.

the diffrence of two numbers is -1. if twice the first number is added to three times the second number, the result is 13. what are the numbers Find the value of p if the line joining the points (3, -6) and (p, 10) is perpendicular to the line .