Question

9x - y = -2

Part A: Explain how you will show all of the solutions that satisfy this equation. (4 points)

Part B: Determine three different solutions for this equation. (4 points)

Part C: Write an equation that can be paired with the given equation in order to form a system of equations that is inconsistent. (2 points)

Answer 1

@SolomonZelman @jigglypuff314 @imammalik_806 @BPDlkeme234

Answer 2

Guys!

Answer 3

that is 2 variables in one equation...there will be infinitely many solution points(x,y) on that line

Answer 4

what do you do now, set notation or

Answer 5

solutions - {all (x,y) such that, 9x - y = -2}

Answer 6

or, maybe, solve for y, y = 9x + 2

solution is all points (x , y) = (x , 9x + 2)

Answer 7

?

Answer 8

Sorry I have no idea what you're talking about

Answer 9

Do you see, the equation is a line?

Answer 10

Yeah

Answer 11

9x - y =- 2
or
y = 9x + 2

Answer 12

Umm... ok. How did you do that?

Answer 13

i just rearranged it to the y = mx + b form

Answer 14

you don't really need to

Answer 15

Um, ok

Answer 16

So i mean how do i explain it?

Answer 17

What I do for part A

Answer 18

i guess you can draw the graph, slope 9 and y intercept 2, it is slanted

then explain the solutions are points (x,y) on that line, infinitely many of them.

Maybe say since y=9x+2, each point will be in the form (x,y) = (x , 9x + 2)

Answer 19

um

Answer 20

So I say that you graph it?

Answer 21

The solutions are all points (x,y) such that y = 9x+2

Answer 22

Oh ok

Answer 23

(x , y) = (x, 9x+2)

Answer 24

ok

Answer 25

What about part B?

Answer 26

pick any 3 values for x, and show the resulting points (x,y)

Answer 27

ok

Answer 28

ok i get it

Answer 29

IF x=0 --- point (0,2)

Answer 30

cool

Answer 31

Ok so i have that

Answer 32

What about part c?

Answer 33

inconsistent system means there will be no solutions... to show that here...

Answer 34

you want any parallel line, that is not the same line

Answer 35

2 parallel lines never intersect, and thus have no solutions

Answer 36

ok so I would change the y intercept?

Answer 37

in the form given a*x + b*y = c
another general d*x + e*y = f

a simple way to make a parallel line from that form, is to take a number multiple of the coefficients on x and y - ---

Answer 38

or yeah just change the y intercept in that form

Answer 39

Thanks! Could you help me with another

Answer 40

A system of equations is shown below:

8x + 5y = 9
3x + 2y = 4

Part A: Create an equivalent system of equations by replacing one equation with the sum of that equation and a multiple of the other. Show the steps to do this. (6 points)

Part B: Show that the equivalent system has the same solution as the original system of equations. (4 points)

Answer 41

ok

Answer 42

When you are solving systems of equations - it is legal to
-multiply any equation by a constant number, it remains the same line.
-add equations together
-change order of equations

Answer 43

So for that example, you just follow what it tells you to do...

8x + 5y = 9 ---first equation
6x + 4y = 8 ---2 times second equation
----------- +
14x + 9y = 17 --- new first equation

Answer 44

i dont understand

Answer 45

-_-

Answer 46

oh wait

Answer 47

nevermind got it thank you

Answer 48

what about part b

Answer 49

SOMEONE HELP