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
ivann1987 [24]
3 years ago
10

3(x−2)+5x=26 what is the justification for every step

Mathematics
1 answer:
MatroZZZ [7]3 years ago
5 0

Answer: (I think it is x=4)

x=4, x=2, or x=10

Step-by-step explanation:

Simplifying

3x + 2(5x) = 26

Remove parenthesis around (5x)

3x + 2 * 5x = 26

Multiply 2 * 5

3x + 10x = 26

Combine like terms: 3x + 10x = 13x

13x = 26

Solving

13x = 26

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '13'.

x = 2

Simplifying

x = 2

----------------------------------------------------------------------------------------

Equation at the end of step 1

 3 • (x - 2) -  (5x - 26)  = 0  

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  20 - 2x  =   -2 • (x - 10)  

Equation at the end of step

3

:

 -2 • (x - 10)  = 0  

STEP

4

:

Equations which are never true

4.1      Solve :    -2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

4.2      Solve  :    x-10 = 0  

Add  10  to both sides of the equation :  

                     x = 10

One solution was found :

x = 10

--------------------------------------------------------------------------------

(3x-3*2)+5x=26

(3x-6)+5x=26

3x-6+5x=26

3x+5x-6=26

8x-6=26

(8x-6)+6=26+6

8x-6+6=32

8x=32

8x/8=32/8

x=2^5/2^3

x=2^5-3

x=2^2

x=4

You might be interested in
3 years ago a father was 3 times as old as his son, in five years time he will be twice as old as his son, what will be the sum
ivolga24 [154]

Answer: 46 years

Step-by-step explanation:

Let the father's age be x and the son's age be y, then 3 years ago:

Father = x - 3

son     = y - 3

Then , from the first statement :

x - 3 = 3 ( y - 3 )

x - 3 = 3y - 9

x     = 3y - 9 + 3

x     = 3y - 6 .......................................... equation 1

In five years time

father = x + 5

son = y + 5

Then , from the second statement

x + 5 = 2 ( y + 5 )

x + 5 = 2y + 10

x       = 2y + 10 - 5

x       = 2y + 5 ........................ equation 2

Equating equation 1 and 2 , we have

3y -6 = 2y + 5

add 6 to both sides

3y = 2y + 5 + 6

subtract 2y from both sides

3y - 2y = 11

y = 11

substitute y = 11 into equation 1 to find the value of x

x = 3y - 6

x = 3(11) - 6

x = 33 - 6

x = 27

This means that the father is presently 27 years and the son is presently 11 years.

In four years time

father = 27 + 4 = 31

son = 11 + 4      = 15

sum of their ages in four years time will be

31 + 15 = 46 years

5 0
3 years ago
Read 2 more answers
4(1+ 2y) = 12y. Solve for y.​
Alja [10]

Answer:

y=1

Step-by-step explanation:

4(1+2y)=12y

4*1 + 4*2y=12y

4 + 8y=12y

4=12y - 8y

4=4y

4/4=y

1=y

8 0
3 years ago
Read 2 more answers
The Outer Bay Aquarium hold 1,000,000 gallons of water. How many days would it take to fill the aquarium if it fills at a rat of
lana66690 [7]

Answer:

10,471.2042

Step-by-step explanation:

Tbh Im not too sure

4 0
3 years ago
This question is from the tangent ratio section in our chapter and im not sure how to solve for this
VladimirAG [237]
The large triangle is an isosceles since both angles at the base each equal 42°.
In an isosceles triangle the altitude z is at the same time median , then it bisects the opposite side in the middle . So w = 120/2 = 60

Now let's calculate z:
 tan 42° = (opposite side) / (adjacent side) = z/60
tan 42° = 0.9,
0.9 = z/60 and z = 54
6 0
3 years ago
Please help it's due tmrw
Makovka662 [10]

Answer:

B

If you just use you finger to keep track of one point and follow each set of instructions you will find that B is correct.

I realize that in a previous comment I had said im bad at geometry but I immediately assumed this had to do with ASA and such.

5 0
3 years ago
Other questions:
  • Which graph represents a reflection of f(x) = 6(0.5)x across the x-axis?
    8·2 answers
  • Please help- 15 points !!
    5·1 answer
  • How many seconds in 10 minutes??
    13·2 answers
  • According to the Gallup survey, 23% of Americans reported eating less meat in the past year than they had previously. Results fo
    9·1 answer
  • Shirts are nine dollars each you have a coupon that saves you five dollars off your purchase how much would it cost you to buy 6
    6·1 answer
  • The perimeter of a semicircle is 20.56 feet. What is the area?
    11·1 answer
  • <img src="https://tex.z-dn.net/?f=I%20don%27t%20get%20this" id="TexFormula1" title="I don't get this" alt="I don't get this" ali
    10·2 answers
  • Omg wth is this please help :(
    14·1 answer
  • A piece of string is 42 meters long. It is cut into three pieces so that one piece is 15 meters longer than the other two, which
    14·1 answer
  • This is a number line, how can these fragments be on these positions? ​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!