10. Five mark exercise problems IV

1. Find the equation of the straight line through the intersection of lines \(7x + 3y = 10\), \(5x - 4y = 1\) and parallel to the line \(13x + 5y + 12 = 0\).

 

Answer:

 

The equation of the straight line is \(13x - 5y + 18 = 0\)\(13x - 5y - 18 = 0\)\(13x + 5y - 18 = 0\)\(13x + 5y + 18 = 0\).

 

2. Find the equation of a straight line through the intersection of lines \(5x - 6y = 2\), \(3x + 2y = 10\) and perpendicular to the line \(4x - 7y + 13 = 0\).

 

Answer:

 

The equation of the straight line is \(49x + 28y + 156 = 0\)\(49x + 28y - 156 = 0\)\(49x - 28y - 156 = 0\)\(49x - 28y + 156 = 0\).