Answer:
Point of intersection:
[tex]3x - y = 8 - - - (a) \\ x + 2y = 5 - - - (b) [/tex]
2 × equation(b) + equation (a):
[tex]7x = 21 \\ x = 3 \\ \\ y = 3x - 8 \\ y = 1[/tex]
Point of intersection = (3, 1)
Perpendicular line:
[tex]3x + 6y - 11 = 0 \\ 6y = - 3x + 11 \\ y = - \frac{1}{2} x + \frac{11}{6} [/tex]
General equation of line:
[tex]y = mx + c \\ 1 = (2 \times 3) + c \\ c = - 5[/tex]
Value of m:
[tex]m \times m {}^{i} = - 1 \\ m \times - \frac{1}{2} = - 1 \\ m = 2[/tex]
