Question

How many solutions does the equation have?

http://static.k12.com/bank_packages/files/media/mathml_947a0b5503fb39927c04cd7489b07f508e26a65e_1.gif

A.
one solution

B.
infinite solutions

C.
no solution

Answer 1

@DrTyrone

Answer 2

@Algorithmic

Answer 3

@markchernioglo

Answer 4

@swissgirl

Answer 5

@Rachella

Answer 6

I'LL GIVE MEDALS!

Answer 7

1 sln

Answer 8

explane how you got it

Answer 9

ITS ONE!

Answer 10

Wait, give me a second.

Answer 11

k

Answer 12

I can explain if you want

Answer 13

yes please

Answer 14

this is also no solution

Answer 15

alright, so what's the highest power of your variable

Answer 16

or maybe infinite solutions

Answer 17

if you don't know, stay quiet

Answer 18

(ArkGo...)

Answer 19

Actually it is 0 solutions

Answer 20

4x+1=5+4x-8
0=-4

Answer 21

i think its B because

Answer 22

No, it's no solutions. No need to be rude @iangagn, especially when you're wrong.

Answer 23

no Ark is right, I didn't do the calculation, he is right but hear me out still

Answer 24

This has no solution. A solution of the system is when two or more points meet on a graph. When you graph this equation, no points meet therefore there would be no solutions.

Answer 25

what's the highest power of your variable?

Answer 26

4x + 1 = 5 + 2(2x-4)
4x +1 = 5 + 4x - 8\
1x = 1x

Answer 27

http://www.picresize.com/images/tscreenshot_148.png?975616
As you see on the graphed equation in the link provided above, no points meet so therefore there is no solution.

Answer 28

sorry, I didn't mean to be an retriceole

Answer 29

if you substract 4x on both sides, you shouldn't get x=x

Answer 30

but answer my question first, what's the highest power of "x"

Answer 31

hmm

Answer 32

so which one i pick

Answer 33

what is the highest exponent to which "x" is raised?

Answer 34

Look at the link provided --> http://www.picresize.com/images/tscreenshot_148.png?975616. Do you see where two or more points meet?

Answer 35

i don't know how to do it on a gragh sorry

Answer 36

I'll explain no worries

Answer 37

graph*

Answer 38

If two or more points don't meet on the graph then there is no solution. This equation has no solution.

Answer 39

so its not B?

Answer 40

No. It's A because no points meet.

Answer 41

It is A.

Answer 42

If it was infinite solutions then that means all points would meet, where in this case, there are no points to meet.

Answer 43

no I stupidly said A too, it is not A

Answer 44

how you get the answer without the graph not to be rude Rachella

Answer 45

by answering my question :)

Answer 46

@LALove<3

4x+1=5+2(2x-4)
4x+1=5+4x-8
1=-3.

This isn't true for any value of x, so there are no solutions :)

Answer 47

umm well they don't show me how to do it with a graph

Answer 48

ya thats how they do without the graph like toms!

Answer 49

You don't need a graph to do this, it's just a bit of rearranging like I did above.

Answer 50

ya thats what i said

Answer 51

Using a graph is the easiest way of solving this type of problem. If no points meet on the graph then there are no solutions, if there are points that meet then there are one or more solutions. You don't need a graph to solve this equation but it's easier that way than solving without it.

Answer 52

how'd you get -3

Answer 53

5-8

Answer 54

k thanks

Answer 55

thank you to rachella :)

Answer 56

My pleasure.

Answer 57

No it isn't @Rachella because you can't draw a graph for all values of x - but you can solve it algebraically for all values of x.

Answer 58

Whatever graph you draw, you'll be extrapolating from it assuming it carries on as it did before, which may not be true. If you solve it with algebra, you don't need to worry about that.