Question

Medal! HELP :D

An equation is shown below:

2 over 3 multiplied by x plus 8 over 3 equals 2 to the power of x

What is the solution to the equation?

x = –2
x = –1
x = 1
x = 2

Answer 1

@haleyelizabeth2017

Answer 2

Shoot, this is like what I am doing!

Answer 3

lol @haleyelizabeth2017

Answer 4

First, we need to multiply this whole thing by 3, to remove the fractions :)

Answer 5

Alright, How would we do that

Answer 6

Well just multiply it by 3 to get

\(2x+8=6^x\)

Answer 7

Haa i see

Answer 8

The threes on the left in the denominators cancel :)

Answer 9

@haleyelizabeth2017

Answer 10

I'm still here :) my computer is just lagging :/ so it doesn't show me sometimes :(

Answer 11

Yep that happens to me.. Keep disconnecting

Answer 12

there's a mistake in multiplying by 3
right hand side is 3 * 2^x not 6^x

Answer 13

okay sorry lol I haven't done this in a while so I will let you finish :)

Answer 14

that's ok

Answer 15

2x + 8 = 3*2^x

by inspection x = 2

as 2(2) + 8 = 3*2^2
12 = 12

Answer 16

so 12 is the answer? @cwrw238

Answer 17

Wait it cant be

Answer 18

DAHH

Answer 19

n0 x = 2

Answer 20

so D is right?

Answer 21

yes

Answer 22

Thank You!

Answer 23

yw

Answer 24

Can you help me with one more? @cwrw238

Answer 25

I cant think of an algebraic way to solve it
one way would be graphical

Answer 26

ok

Answer 27

Solve the following system of equations:

Answer 28

3x - 2y = 6
6x - 4y = 14

Answer 29

you can solve these by the method of elimination

Answer 30

0,0 6,14 Infinite solutions no solutions

Answer 31

I think the intent of the question is to simply substitute the possible responses into the equation.

Answer 32

first multiply the first equation by -2 then add it to the second

Answer 33

Wait

Answer 34

yes - but its more instructive to try and solve them
have you done solutions of systems of equations @AleshGames

Answer 35

They are parallel

Answer 36

does that mean the have no solutions?

Answer 37

yes

Answer 38

There you go that is the answer.

Answer 39

right