1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
dezoksy [38]
2 years ago
14

-3|9x-7|=2 Find the answer for x

Mathematics
1 answer:
labwork [276]2 years ago
8 0
<h2>Solving Equations with Absolute Expressions</h2><h3>Answer:</h3>

<u>No Solutions</u>

<h3>Step-by-step explanation:</h3>

Given:

-3|9x -7| = 2

Rewriting the given equation:

-3|9x -7| = 2 \\ |9x -7| = -\frac{2}{3}

We have to realize that the right side of the equation, |9x -7|, will always be positive no matter what real values of x (because we're taking the absolute value of the expression) and we are equating it to a <em>negative</em> constant number, -\frac{2}{3}\\. Something that is always positive will never be negative so there's no value for x that satisfies the solution.

\rule{6.5cm}{0.5pt}

<em>You</em><em> </em><em>may</em><em> </em><em>not</em><em> </em><em>read</em><em> </em><em>the</em><em> </em><em>following</em><em> passage</em><em> </em><em>that</em><em> </em><em>I</em><em> </em><em>have</em><em> </em><em>written.</em>

\rule{6.5cm}{0.5pt}

Solving by positive of the expression:

9x -7 = -\frac{2}{3} \\ 9x = -\frac{2}{3} +7 \\ 9x = -\frac{2}{3} +\frac{21}{3} \\ 9x = \frac{19}{3} \\ 9x \times \frac{1}{9} = \frac{19}{3} \times \frac{1}{9} \\ x = \frac{19}{27}

Solving by the negative of the expression:

-(9x -7)= -\frac{2}{3} \\ 9x -7 = \frac{2}{3} \\  9x = \frac{2}{3} +7 \\ 9x = \frac{2}{3} +\frac{21}{3} \\ 9x = \frac{23}{3} \\ 9x \times \frac{1}{9} = \frac{23}{3} \times \frac{1}{9} \\ x = \frac{23}{27}

Checking: x = \frac{19}{27}\\

-3|9(\frac{19}{27}) -7| \stackrel{?}{=} 2 \\ -3|\frac{19}{3} -7| \stackrel{?}{=} 2 \\ -3|\frac{19}{3} -\frac{21}{3}| \stackrel{?}{=} 2 \\ -3|-\frac{2}{3}| \stackrel{?}{=} \\ -3(\frac{2}{3}) \stackrel{?}{=} 2 \\ -2 \stackrel{?}{=} 2 \\ -2 \neq 2

x = \frac{19}{27}\\ is an extraneous solution.

Checking: x = \frac{23}{27}\\

-3|9(\frac{23}{27}) -7| \stackrel{?}{=} 2 \\ -3|\frac{23}{3} -7| \stackrel{?}{=} 2 \\ -3|\frac{23}{3} -\frac{21}{3}| \stackrel{?}{=} 2 \\ -3|\frac{2}{3}| \stackrel{?}{=} \\ -3(\frac{2}{3}) \stackrel{?}{=} 2 \\ -2 \stackrel{?}{=} 2 \\ -2 \neq 2

x = \frac{23}{27}\\ is an extraneous solution.

You might be interested in
A parking space is 20 feet long. A pickup truck is 6 yards long. How many inches longer is the parking space than the truck
masya89 [10]

1 yard = 3 feet.

Multiply the length of the truck by 3 to get total feet:

6 x 3 = 18 feet.

Subtract the length of the truck from the length of the parking space:

20 - 18 = 2 feet

1 foot = 12 inches.

Multiply 2 feet by 12:

2 x 12 = 24 inches longer.

7 0
3 years ago
I don't get how to do #10 someone help plez
ExtremeBDS [4]
I can help but the picture does not load, for some reason it takes me to a page that says enter code. I have no idea what it is but i did not mess with it...
you might want to re-post a new picture just to be safe because that code thing might be something of yours thats personal
3 0
3 years ago
PROBABILITY QUESTION!!! PLEASE HELP
Evgen [1.6K]

Answer:

The answer is 8/5  or 8 out of 5.

Step-by-step explanation:  

In order to solve this you need to first add the number of envelopes together to get the sum of how many envelopes there are, 1 + 3 + 2 + 2 = 8. Next you add the amount of blue and green envelopes together 3 + 2 = 5. The total number of envelopes is 8, and 5 out of the 8 are green or blue, therefore you will have a 8 out of 5 chance of picking one of those colors.

4 0
3 years ago
Sara would like to open a bank account. What will she need to do this? Check all that apply.
svet-max [94.6K]
Where are the examples?
4 0
3 years ago
Read 2 more answers
F(x)=3x^3-4x^2+6x and g(x)=5x^3+2x^2-3x<br>what is f(X) AND G (X)
kvasek [131]
This on is very easy go to my website so i can explain it better for you

 <span>https://www.youtube.com/channel/UCaxhPMTZBmFcxAZ4hYpBf_w 
</span>
Hope this 
8 0
3 years ago
Other questions:
  • the united states capitol is located 800 meters south and 2300 m to the east of the White House. If the locations were placed on
    11·1 answer
  • Merideth's brother, Miles, is 3 years younger than twice her age. The sum of their ages is 24. Create an equation to determine t
    14·1 answer
  • Need help with finding perpendicular line that goes through (4,5)
    5·1 answer
  • Lydia figures it should be easy to carry her golf clubs in her new golf bag to be sure she decides to check the total weight the
    13·1 answer
  • Part B
    15·1 answer
  • I NEED UR HELP ASAP!! PLEASE
    9·1 answer
  • What is the volume of this prism??
    13·1 answer
  • a landscaping store charges 12.50 per pound of gravel if you purchase 3 pounds or less. any gravel you purchase beyond the first
    12·1 answer
  • Please I need help !!!
    10·1 answer
  • On a youth soccer team, 3 out of 12 team members have played previous years. Based on this information if 144 kids are in the yo
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!