If a system of linear equations has no solution, what does this mean about the two lines?

Step-by-step explanation:

if the system of linear equation has no solution means that the lines do not intersect so they to not have any points in common ( there are  no points that belong to both lines in the same time)

Think of equation as a rule and system of equation as two or more rules that have to be followed in the same time .

If you are asked to look in a parking lot full of cars and find what cars have

rule 1 -red color  ( equation 1) and rule 2- is a truck ( equation 2) the cars you find are the solution of this system because the rules are true in the same time

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )