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
Eduardwww [97]
2 years ago
13

Solve: 3x-5/2 +x+ 2x-3/3 = 5/6 - 3x/2​

Mathematics
2 answers:
torisob [31]2 years ago
6 0

Answer:

<u>Given Question</u>

Solve for x :

\rm :\longmapsto\:\dfrac{3x - 5}{2} + x +  \dfrac{2x - 3}{3} =  \dfrac{5}{6}  - \dfrac{3x}{2}

\green{\large\underline{\sf{Solution-}}}

<u>Given expression is </u>

\rm :\longmapsto\:\dfrac{3x - 5}{2} + x +  \dfrac{2x - 3}{3} =  \dfrac{5}{6}  - \dfrac{3x}{2}

  • On taking LCM of (2 and 3 = 6) on LHS and Taking LCM of ( 2 and 6 = 6) on RHS, we get

\rm :\longmapsto\:\dfrac{3(3x - 5) + 6x + 2(2x - 3)}{6} =  \dfrac{5 - 9x}{6}

\rm :\longmapsto\:9x - 15 + 6x + 4x - 6 =  5 - 9x

\rm :\longmapsto\:(9x + 6x + 4x) - 15 - 6 =  5 - 9x

\rm :\longmapsto\:19x - 21 =  5 - 9x

\rm :\longmapsto\:19x + 9x =  5  + 21

\rm :\longmapsto\:28x =  26

\rm :\longmapsto\:x = \dfrac{26}{28}

\bf\implies \:x = \dfrac{13}{14}

<h3><u>VERIFICATION</u></h3>

<u>Consider LHS </u>

\rm :\longmapsto\:\dfrac{3x - 5}{2} + x +  \dfrac{2x - 3}{3}

On substituting the value of x, we get

\rm \:  =  \: \dfrac{\dfrac{39}{14}  - 5}{2} + \dfrac{13}{14}  +  \dfrac{\dfrac{13}{7}  - 3}{3}

\rm \:  =  \: \dfrac{39- 70}{28} +  \dfrac{13}{14}  +  \dfrac{13 - 21}{21}

\rm \:  =  \: \dfrac{ - 31}{28} +  \dfrac{13}{14}  -  \dfrac{8}{21}

\rm \:  =  \: \dfrac{ - 31 + 26}{28} -  \dfrac{8}{21}

\rm \:  =  \: \dfrac{ -5}{28} -  \dfrac{8}{21}

\rm \:  =  \: \dfrac{ -15 - 32}{84}

\rm \:  =  \: -  \:  \dfrac{47}{84}

<u>Consider RHS</u>

\rm :\longmapsto\: \dfrac{5}{6}  - \dfrac{3x}{2}

On substituting the value of x, we get

\rm \:  =  \:  \dfrac{5}{6}  - \dfrac{39}{28}

\rm \:  =  \:  \dfrac{70 - 117}{84}

\rm \:  =  \: -   \dfrac{47}{84}

Hence, LHS = RHS

<u>Hence, Verified</u><u>.</u>

Vlad [161]2 years ago
3 0

Answer:

x = 26/45

Step-by-step explanation:

You might be interested in
Plz help The graph shows the time passed and the amount owed on a loan
sdas [7]
X        y
4      650
7      575
11    475

there ya go ^^

5 0
2 years ago
Read 2 more answers
A total of tickets 569 were sold for the school play. they were either adult tickets or student tickets. there were 69 more stud
makkiz [27]
------------------------------------------
Define adult and student tickets
------------------------------------------
Let the number of adult tickets be x
Adult tickets = x
Student tickets = x + 69


------------------------------------------
Form equation and solve for x
------------------------------------------
x + x + 69 = 569         
2x + 69 = 569              ← Combine like terms
2x = 569 - 69               ← Subtract 69 from both sides
2x = 500
x = 250                         ← Divide by 2 to find x

------------------------------------------------------------------------------------
Find the number of adult tickets and student tickets
------------------------------------------------------------------------------------
Adult tickets = x = 250
Student tickets = x + 69 = 319

------------------------------------------------------------------------------------
Answer: Adult tickets = 250 ; Student tickets = 319
------------------------------------------------------------------------------------
7 0
3 years ago
Harry used 84% of the money in his savings account to buy a used to it like that costume $1050 I want your money is left in Harr
Ratling [72]
Are you saying that $1050 was the initial amount of money in the savings account? If so then you'd find 84% of 1050, which is 1050*.84. (.84 is the decimal version of 84%)
8 0
3 years ago
Read 2 more answers
ILL BRAINLIEST YOU PLEASE HELP ME
astra-53 [7]

Answer:

a) 5.6

Step-by-step explanation:

sin 22° = x/15

0.3746 = x/15

x = 5.62

3 0
3 years ago
The graphs of f(x) and g(x) are shown below. For what interval is the value of (f-g)(x) negative
Eddi Din [679]

Answer:

B (-infinity, 2)

Step-by-step explanation:

I just took test and got it correct!!

5 0
3 years ago
Other questions:
  • Each of the p children at a park receives at least 3 balloons. If the children receive 150 balloons in all, find the maximum num
    6·2 answers
  • Michael rents a car for one day. The charge is $30 plus the $0.12 per mile. He wants to spend exactly $105. How many miles can h
    12·1 answer
  • HELP! I need the answers before 1Pm today please​
    13·1 answer
  • What is the difference between an objective statement and a nonobjective statement
    9·1 answer
  • Ms. Carey grades 4 tests during her lunch. She grades 1/3 of the remainder after school. If she syill5has 16 test to grade after
    12·1 answer
  • Dylan drives 12 miles to work each day, and the same amount to get home. If Dylan works five days each week, how many miles does
    12·2 answers
  • A jazz concert brought in $202,000 on the sale of 7,800 tickets. If the tickets sold for
    15·1 answer
  • Find the equation of the linear function represented by the table y 6 9 12 15 x 1 2 3 4​
    10·1 answer
  • Solve the compound inequality 2(x-2)+7&gt;-1 and 5-4x&gt;9
    14·1 answer
  • CAN SOMEONE PLEASE HELP ASAP!?? I RLLY NEED THIS
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!