SOLUTION: For what values of k will the system be inconsistent x=6y+6 kx-3y=6 Work please I don't know how to do this.

Question 821830: For what values of k will the system be inconsistent
x=6y+6
kx-3y=6
Work please I don't know how to do this.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
Inconsistent systems have no solutions
In the case of linear equations, the lines are parallel but not equal.
Parallel lines have slopes that are equal
x=6y+6
6y=x-6
y=x/6-1
kx-3y=6
kx-6=3y
y=kx/3-2
y=k/3*x-2
y=1/6*x-1
k/3=1/6
6k=3
k=1/2
if k=1/2 then the lines will have the same slope and the lines will be parallel

RELATED QUESTIONS
For what values of k will the system of equations be inconsistent?... (answered by Fombitz)

for what values of k is the system of equations kx+3y=k-2,12x+ky=k inconsistent... (answered by Edwin McCravy)

For what values of k will the line kx � 3y = 4k have a slope of 1? i have started by... (answered by ankor@dixie-net.com)

What should be the value(s) of k so that the system 2x - 5y = k kx + 3y = 1 will... (answered by ikleyn,greenestamps)

Determine the values of K for which the following system has a nonzero... (answered by solver91311)

For what values of t can 10x^2+tx+8 be written as the product of two binomials? I... (answered by ikleyn)

What should be the value of k in 2x^4-5x^2+k so that x-5 is a zero? I kinda don't know (answered by josgarithmetic,Theo,ikleyn)

I have a problem can you help me Its about solving for the value of k that makes each... (answered by ewatrrr)

For what values of t can 10x^2+tx+8 be written as the product of two binomials? I... (answered by josgarithmetic,ikleyn,MathLover1,greenestamps)