Question

Tentukanlah nilai k untuk setiap persamaa gatis berikut, untuk.
a. g1: (3k)x - 6y = 20 Dg gradiennya sama dengan gradien g2: x - 2y = 16
b. I1: (3k+2)x + ky = 12 dg gradiennya sama dg gradien I2: -7x + (k-6)y = 16

Answer 1

A. x-2y =16, 2y = x-16, y = 1/2x-8, m = 1/2
(3k)x-6y=20, 6y=(3k)x-20, y=(1/2k)x-20/6, m = 1/2k
1/2 = 1/2k, k = 1

b. (3k+2)x+ky=12, m = (-3k-2)/k
-7x+(k-6)y=16, m = 7/(k-6)

(-3k-2)/k=7/(k-6)
7k=-3k^2+16k+12
3k^2-9k-12=0
(k-4)(3k+3)=0
k=4 atau k = -1