A system of linear equations for the variables x and y is shown. y=-x-4
3y=cx-18
For what value of c, if any, will this system have no solution? Justify your answer.

-3

Step-by-step explanation:

Given

Equations of the lines are

For the system of linear equation has no solution if

Rewrite the equations

Insert the values for the no solution condition

Therefore, for c=-3, the system of linear equation ha no solution.

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

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step-by-step explanation: