Question

2. [6.01] The graph of a system of parallel lines has no solutions. (4 points)
Always
Sometimes
Never
3. [6.01] The graph of the following system of equations is
−2x + y = 3
−4x + 2y = 6 (4 points)
Overlapping lines
Parallel lines
Intersecting lines
4. [6.02] For the following system, if you isolated x in the first equation to use the Substitution Method, what expression would you substitute into the second equation?

x − y = 8
−x − y = −7 (4 points)
8 – y
–8 − y
8 + y
–8 + y

Answer 1

A system of equations has a solution where all of the lines intersect (1 solution) or infinitely many solutions if the lines are equivalent (overlapping), or no solutions if the lines do not intersect and are not equivalent. Which of those cases describes parallel lines?

You can graph those lines to see what happens, or you can observe that the second equation is exactly 2 * the first equation. Which case is that?

In the 3rd part, \[x-y=8\]Isolating \(x\) is accomplished by adding \(y\) to both sides of the equation. What does that give you?

Answer 2

Umm idk? what are the numbers?

Answer 3

I literally have no idea how to do this

Answer 4

Okay, let's take the first section. Do parallel lines intersect?

Answer 5

Um I think so? @whpalmer4

Answer 6

Really? Parallel lines intersect? What does it mean to be parallel?

Answer 7

No solution

Answer 8

No, what is the definition of a pair of parallel lines? If your friend asks you "what does parallel mean?" what do you say?

Answer 9

Equal?

Answer 10

Have you ever seen railroad tracks?