Question

procure o valor de k.
6x+2y=4
3x+5y=6
kx+2y=6

Answer 1

6x + 2y = 4
6x = 4 - 2y
x = 4 - 2y/6
x = 4 - 2 * 1/6
x = 4-2/6
x = 2/6 (simplificando) 1/3

3x + 5y = 6
3 * (4-2y/6) + 5y = 6
12 - 6y + 30y = 36
-6y + 30y = 36 - 12
24y = 24
y = 24/24
y = 1

k * x + 2y = 6
k * 1/3 + 2*1 = 6
3k * 1 + 6 = 18
3k = 18 - 6
3k = 12
k = 12/3
k = 4