Question

what value of x satisfies the equation 2/3x + 1 = 9?

Answer 1

Please don't give out straight answers.

Answer 2

show her how to do it...don't just give answers

Answer 3

how u got tht

Answer 4

First, simplify the equation by subtracting 1 by both sides.
2/3x = 8
Now divide both sides by 2/3 to isolate x
x = 8/1 / 2/3
To divide fractions multiply the first fraction by the reciprocal of the second fraction
8/1 * 3/2
8*3 = 24
1*2 = 2
24/2
This can be simplified by dividing both numerator and denominator by 2, giving you 12/1, which then simplifies to 12

Answer 5

First we just subtract one from both sides in order to cancel out:

2/3x + 1 - 1 = 9 - 1

2/3x = 8

Now we have to divide 2/3 from both sides to cancel out as well:

2/3x/(2/3) = 8/(2/3)

But first let's divide 2/3:

0.67x/0/67 = 8/0.67

x = 11.94 which is rounded to 12.

Answer 6

ok got it !!! help me with another?

Answer 7

Lol yeah that's another way to do it.

Answer 8

We have,

\(\displaystyle \frac{2}{3}x+1=9\)

First we want to get the terms with variables on one side and constants on the other, correct?
So we would subtract 1 from each side.

\(\displaystyle \frac{2}{3}x=8\)

To get rid of the fraction we need to multiply by it's reciprocal \(\frac{3}{2}\)

\(\displaystyle\frac{3}{2}\cdot\frac{2}{3}x=8\cdot\frac{3}{2}\)
\(x=\dfrac{8\times3}{2}=\dfrac{24}{3}\)

When simplified that is equal to 12.

THAT is how you get to that answer.

Answer 9

if 3b + 12 = 5(b-4), what is b?

Answer 10

For this one, you would need to distribute out the right side. Do you think you could show me what that looks like?

Answer 11

would it be .... b+8=5?

Answer 12

No to distribute you need to do something like this.

\(a(b-c)=ab-ac\)

Make sense?

Answer 13

Austin is that ur mustang?

Answer 14

Two things,
1) Not really the place for that. You shouldn't just interrupt someone's question for something off topic.
2) Yes it is.

Answer 15

Let's move on :I

Answer 16

idk how to do tht

Answer 17

We have,

\(5(b-4)\)

This would translate to,

\(5(b-4)\Rightarrow5b-(5\cdot4)=5b-20\)

So all told we now have,

\( 3b + 12 =5b-20\)

Do you think you could get terms with variables on one side and constants on the other?

Answer 18

lol no im lost , wht you done i was doin completely different i did 3(b+4_=3b+8

Answer 19

Where did you get these numbers from??

Answer 20

24

Answer 21

noo 8

Answer 22

3b + 12 = 5(b - 4)
Distribute the 5 on the right side to simplify it
3b + 12 = 5b - 5(4)
3b + 12 = 5b - 20

Answer 23

Can you go from there?

Answer 24

3b + 12 = 5(b - 4)
3b + 12 = 5 * b + 5*-4
3b + 12 = 5b + (-20)
3b + 12 = 5b - 20

you understand so far ?

Answer 25

8?

Answer 26

No so if you have
3b + 12 = 5b - 20
You'd want to get like terms on one side, so b on the left and and natural numbers on the right, it will be easier to do it this way
To do this you want to -12 from both sides of the equation like this:
3b +12 = 5b - 20
-12 -12
3b = 5b - 32

When you subtracted 12 from both sides, you want to keep the - in front of 20, so you are subtracting 12 from -20, which gives you -32, then in conclusion, when placed back in the equation simplifies to
3b = 5b - 32

Try to get b on one side by itself now

Answer 27

do i add 3 and 5?

Answer 28

because 5b is a positive number imagine a + in front of it, you want to always reverse the operation when moving to the other side, so you want to subtract 5b from 3b

Answer 29

3b-5b = -2b
Now you have
-2b = -32
we want to find b by itself so divide both sides by -2
-2b / -2 = b
-32 / -2 = +16
b = 16
to check this replace b with 16 in the equation
3*16 + 12 = 5*16 - 20
48 + 12 = 80 - 20
60 = 60
the equation is true so
b = 16

Answer 30

i get it ... what bout .. what value of g make 3g+9=18 a true statementt

Answer 31

first you want to get 3g on one side and everything else on the other side.
3g + 9 = 18 (subtract 9 from both sides)
3g + 9 - 9 = 18 - 9 (what you do one one side of the equal sign, you have to do on the other side)
now we have :
3g = 9

are you still with me ?

Answer 32

hello ?

Answer 33

yea

Answer 34

3g = 9
now we will divide both sides by 3 to get g by itself
3g/3 = 9/3
g = 3

the value of g being 3 makes it a true statement

Answer 35

thanks ! what about what is the solution to the equation below? 5/4x - 5/2 = 2