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Norma-Jean [14]
3 years ago
13

Solve the equation. 12x – 15 = 3(2x +3)

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
8 0

Answer:

x = 4

Step-by-step explanation:

Solve for x:

12 x - 15 = 3 (2 x + 3)

Hint: | Write the linear polynomial on the left hand side in standard form.

Expand out terms of the right hand side:

12 x - 15 = 6 x + 9

Hint: | Move terms with x to the left hand side.

Subtract 6 x from both sides:

(12 x - 6 x) - 15 = (6 x - 6 x) + 9

Hint: | Combine like terms in 12 x - 6 x.

12 x - 6 x = 6 x:

6 x - 15 = (6 x - 6 x) + 9

Hint: | Look for the difference of two identical terms.

6 x - 6 x = 0:

6 x - 15 = 9

Hint: | Isolate terms with x to the left hand side.

Add 15 to both sides:

6 x + (15 - 15) = 15 + 9

Hint: | Look for the difference of two identical terms.

15 - 15 = 0:

6 x = 9 + 15

Hint: | Evaluate 9 + 15.

9 + 15 = 24:

6 x = 24

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 6 x = 24 by 6:

(6 x)/6 = 24/6

Hint: | Any nonzero number divided by itself is one.

6/6 = 1:

x = 24/6

Hint: | Reduce 24/6 to lowest terms. Start by finding the GCD of 24 and 6.

The gcd of 24 and 6 is 6, so 24/6 = (6×4)/(6×1) = 6/6×4 = 4:

Answer:  x = 4

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Rewrite the equation in Ax+By=C form Use integers for A,B,C. y+1=-6(x+3)
ANEK [815]
Ax + By = C

y+1 = -6 (x+3)

y= -6x - 17

not sure if y = -6x - 17 is the answer or 6x + y = -17

they are equivalent its just moving over the x to match Ax + By = C


4 0
4 years ago
Use properties of equality to Solve 7+3x = 5x+13 for x
mario62 [17]
We basically have to cancel values on both sides until they are both on common ground.

7 + 3x = 5x + 13

-7 from both sides...

3x = 5x + 6

-5x from both sides...

-2x = 6

/-2 from both sides...

x = -3


Hope this helps!
8 0
4 years ago
PLEASE TELL ME!!!!!!<br><br> What is the solution to the equation 4/5n-1/5=2/5n
Mashutka [201]

Answer:

4/5n-1/5=2/5n  

One solution was found :

                  n = 1/2 = 0.500

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4/5*n-1/5-(2/5*n)=0  

Step by step solution :

Step  1  :

           2

Simplify   —

           5

Equation at the end of step  1  :

   4    1   2

 ((—•n)-—)-(—•n)  = 0  

   5    5   5

Step  2  :

           1

Simplify   —

           5

Equation at the end of step  2  :

   4         1     2n

 ((— • n) -  —) -  ——  = 0  

   5         5     5  

Step  3  :

           4

Simplify   —

           5

Equation at the end of step  3  :

   4         1     2n

 ((— • n) -  —) -  ——  = 0  

   5         5     5  

Step  4  :

Adding fractions which have a common denominator :

4.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4n - (1)     4n - 1

————————  =  ——————

   5           5    

Equation at the end of step  4  :

 (4n - 1)    2n

 ———————— -  ——  = 0  

    5        5  

Step  5  :

Adding fractions which have a common denominator :

5.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(4n-1) - (2n)     2n - 1

—————————————  =  ——————

      5             5    

Equation at the end of step  5  :

 2n - 1

 ——————  = 0  

   5    

Step  6  :

When a fraction equals zero :

6.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 2n-1

 ———— • 5 = 0 • 5

  5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2n-1  = 0

Solving a Single Variable Equation :

6.2      Solve  :    2n-1 = 0  

Add  1  to both sides of the equation :  

                     2n = 1

Divide both sides of the equation by 2:

                    n = 1/2 = 0.500

One solution was found :

                  n = 1/2 = 0.500

4 0
4 years ago
Question 1 (5 points)<br>Find the area of the figure. Round your answer to the nearest tenth
alexgriva [62]
Your answer is 16.45

4 0
4 years ago
Read 2 more answers
Matthew completed 5/8 of his workday. What decimal would also describe the portion of the workday he has finished? How can you u
Natalija [7]

Answer:

a)D= 0.625 Decimal that describes the portion of the workday he has finished

b)P= D*100= 0.625*100=62.5%

P: percentaje

D: Decimal

Step-by-step explanation:

Nomenclature

F: fraction of daily workday

D: decimal of daily workday

P: percentage of daily workday

Formulas

F= a/b

D= a÷b

P= D*100

Problem development

We have:

F = 5/8, then:

D= 5÷8= 0.625

To obtain the percentage of the workday that Matew has completed, we multiply the decimal x 100

P= 0.625*100=62.5%

6 0
4 years ago
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