Question

Which shows three ordered pairs that are all solutions of the equation y = x + 8?

A.
(0, 8), (1, 7), and (2, 9)

B.
(1, 8), (2, 16), and (3, 24)

C.
(1, 9), (3, 11), and (5, 13)

D.
(8, 0), (9, 1), and (10, 2)

Answer 1

@Nameless hey can you hellp me with this one plz

Answer 2

and this lol How many solutions are there to the equation y = 14x – 9? Explain your answer.

A.
There are no solutions because no value can be used for the variable x for the equation to remain true.

B.
There is one solution because only one value can be used for the variable x for the equation to remain true.

C.
There are 2 solutions because only 2 values can be used for the variables for the equation to remain true.

D.
There are an infinite number of solutions because any value can be used for the variable x and the equation would remain true.

Answer 3

ok these are managable. the first one is like the last one we did. except you just add ... so its easier.

Answer 4

okay

Answer 5

this time.. the x and y coordinates are different... like way different. so we need to look at each coordinate pair and quickly evaluate in our head whether or not the x value satisfies the equation.

Answer 6

okay i understand that

Answer 7

so y = x + 8. the first ordered pair (0, 8) when x = 0, does y = 8 (these should be able to be done rapidly in your head.)

Answer 8

yes move to the next one if x = 1 does y = 7

Answer 9

yes

Answer 10

So.. A.?

Answer 11

substitute x and y ... y = 7, and x = 1... so 7=1+8 is true or false

Answer 12

false

Answer 13

so its not A

Answer 14

ok

Answer 15

substitute again ( 1, 8) does 8 = 1+8

Answer 16

no

Answer 17

not B then. lets move onto C

Answer 18

ok

Answer 19

Its D.

Answer 20

y = x +8... Y is always greater than X .. right?

Answer 21

Correct or Incorrect?

Answer 22

well for positive integers of x

Answer 23

yes

Answer 24

yeah

Answer 25

thank you

Answer 26

Does 1 = 9+8

Answer 27

does 2 = 10+8

Answer 28

it is not D.

Answer 29

oh

Answer 30

so then its C.

Answer 31

yes.

Answer 32

ok i get it

Answer 33

for the next one. are you aware that y=mx+b is the standard equation for a line.. where m is the slope (rise over run) of the line?

Answer 34

No I wasnt aware of that

Answer 35

so y=14x-9 is a straight line on a graph.

Answer 36

it looks like that

Answer 37

a line goes in either direction until infinity right?

Answer 38

and we saw from doing those past problems.. the points on the line (x, y) were simply the x and y in the equation.

Answer 39

Okay

Answer 40

this is where it gets hard to follow. if you substitute in any value for x.. you will always get a value for y.. and that answer is going to represent a point on that line.

Answer 41

okay i get that

Answer 42

no matter what value you pick.. 1million.. 10 trillion... - 135quadrillion... or whatever number... even fractions.

Answer 43

so lets look at the answers they give.

Answer 44

okay

Answer 45

based on your great knowledge in math that you now have, what do you guess would be the answer.

Answer 46

These concepts are hard to understand and are by no means trivial. it took mathematicians years to figure this stuff out and you are expected to learn a book in a year. so no worries. it will come

Answer 47

ok and I think B.

Answer 48

y = 14x -9. if x = 0, y = 14*(0) -0 or y = 0 - 9 which is -9. that is true.

if x = 1, y = 14 -9 which = 5. that is also true..

so it cannot be B. think about it. remember that I said you can put any number in for x.. 1/2 1/4 2,000 15,000 whatever number you want and it will be y... because y = whatever 14x-9 is equal to.

Answer 49

and we know a line goes to infinity in either direction.

Answer 50

oh ok ok

Answer 51

y is 14x-9

Answer 52

and x can be any number that you have learned about

Answer 53

im thinking D. or C. now

Answer 54

y = 14x -9. if x = 0, y = 14*(0) -0 or y = 0 - 9 which is -9. that is true.
if x = 1, y = 14 -9 which = 5. that is also true..
if x = -1, y = 14(-1)-9 or y=-14-9 or y = -14 + (-9) which = negative 23.

so now we have 3 solutions that we have used to make the equation true. as you can see.. any number you tell me we can put in to the equation for x whatever that is multiplied by 14 then - 9 is what y will be.

you say.. okay.. i want x to be 10. okay lets let x = 10.. 14(10) -9 = 131..so y = 131. you can put in any number from negative infinity to positive infinity and this equation will be true... because of the fact that Y = whatever 14(x)-9 is equal to

Answer 55

infinite solutions: means that there is no limit to the number of solutions

Answer 56

if there is only one answer to the problem.. then the answer would be referred to as a finite solution.

Answer 57

I hope that helps. I have to run for awhile. I would go with D.

Answer 58

ok