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
Nimfa-mama [501]
3 years ago
15

| x - 1 | = 5x + 10 Check for extraneous solutions.

Mathematics
2 answers:
Ronch [10]3 years ago
8 0
[x-1]=5x+10

We have two equations:
1) x-1=5x+10

x-1=5x+10
x-5x=10+1
-4x=11
x=-11/4

2) x-1=-(5x+10)

x-1=-(5x+10)
x-1=-5x-10
x+5x=-10+1
6x=-9
x=-9/6=-3/2

we have two  possible solutions:
solution₁;       x=-11/4
solution₂:       x=-3/2

we check it out:
1) x=-11/4
[x-1]=5x+10
[-11/4  - 1]=5(-11/4)+10
[(-11-4)/4]=-55/4  + 10
[-15/4]=(-55+40) /4
15/4≠-15/4   This solution don´t work.

2) x=-3/2
[x-1]=5x+10
[-3/2  - 1]=5(-3/2)+10
[(-3-2)/2]=-15/2  + 10
[-5/2]=(-15+20)/2
5/2=5/2; this solution works.

Therefore:

Answer: x=-3/2.
makvit [3.9K]3 years ago
8 0
Solution #1 x-1=5x+10


x-1=5x+10

x-5x=10+1

-4x=11

x=-11/4

Solution #2 x-1=-(5x+10)


x-1=-(5x+10)

x-1=-5x-10

x+5x=-10+1

6x=-9

x=-9/6=-3/2  

We have two  possible<span> outcomes. </span>
You might be interested in
Solve the following question algebraically. SOMEONE PLEASE HELP ME! ILL MARK THE BRAINLIEST ANSWER!!I’VE TRIED TO FIGURE IT OUT
Delicious77 [7]

Solve for x. Isolate the x. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.

First, multiply 3 to both sides

6(3) = ((x + 2)/3)(3)

18 = x + 2

Finally, isolate the x. Subtract 2 from both sides

18 (-2) = x + 2 (-2)

x = 18 - 2

x = 16

16 is your answer for x

hope this helps

8 0
3 years ago
5x -17= 43? alittle help
Assoli18 [71]

Answer:

x = 12

Step-by-step explanation:

5x - 17 = 43

5x = 43 + 17

5x = 60

x = 60 : 5

x = 12

8 0
3 years ago
Read 2 more answers
What must be true of two rational expressions before they can be added
Kisachek [45]

Answer:

reeee

Step-by-step explanation:

4 0
3 years ago
A computer store bought a program at a cost of ​$10 and sold it at a selling price of ​$13. Find the percent markup.
Contact [7]

Answer:

30%

Step-by-step explanation:

(13-10)/10 × 100% = 3/10 × 100% = 30%

7 0
3 years ago
Read 2 more answers
What is the answer in this question
Verizon [17]
Answer = 24
Reason
4/5 is the same as 24/30

Notice the denominator 5 changes to 30
In order to do that we multiply 5 x 6
So we do the same to the numerator
Multiply 4 x 6 =24
3 0
2 years ago
Read 2 more answers
Other questions:
  • 3+2(2p+4t) some one plz HELP ME.
    7·1 answer
  • Solve the measure of an angle is 161°. what is the measure of a supplementary angle?
    8·1 answer
  • What is the soultion to <br> 3-(4w+5)=.50(8w+28)
    9·1 answer
  • john is 15 years old. john's mom takes him and his younger soster to a football game. tickets are $22 for adults and $16 for chi
    14·1 answer
  • Factorise -x^4 - (x-z)^4
    11·1 answer
  • A rectangular sign is 4 times its width if the perimeter is 20 inches what is the signs area.
    13·1 answer
  • Need help finding area
    6·1 answer
  • i will give brainliest to first correct answer!! what is the length of YZ? i will report if you give a fake answer
    9·1 answer
  • I’m having trouble with this. There should be an image or a link attached.
    14·1 answer
  • If (9x − 4)(9x + 4) = ax² − b, what is the value of a? (5 points)
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!