2/7m-1/7=3/14

Please solve showing work

Answers

Answer 1

Answer: (2/7)m - (1/7) = 3/14
2m/7 =(3/14) + (1/7)
2m/7 = (3/14) + 2(1/7)
here we are multiplying 2 with 1/7 to make the denominator same for addition.
2m/7 = (3/14) +(2/14)
2m/7 = (3 + 2)/14
2m/7 = 5/14
2m = (5 *7)/14
2m = 35/14
2m = 5/2
m = 5/4
m = 1.25
So the value of "m" is 1.25

Answer 2

Answer:

Solution for $(2)/(7)m - (1)/(7) = (3)/(14) \ is \ m = (5)/(4) \ or \ m = 1(1)/(4) \ or \ m = 1.25$

Further explanation

It is a case about one variable linear quations and we have to solve the equation to get the variable m.

Our main goal is to isolate the variable m alone at the end of the process on one side of the equation, until the variable will be equal to the value on the opposite side.

Let us add $(1)/(7)$ to both sides:

$(2)/(7)m - (1)/(7) + (1)/(7) = (3)/(14) + (1)/(7)$

$(2)/(7)m = (3)/(14) + (1)/(7)$

On the right side for the addition operation, we equate the common denominator by multiplying $\ (1)/(7) \ by \ (2)/(2)$

$(2)/(7)m = (3)/(14) + (2)/(14)$

Then we combine terms to get:

$(2)/(7)m = (5)/(14)$

We divide by the coefficient of m, or in other words, multiply both sides by $(7)/(2)$ :

$(2)/(7)m * (7)/(2) = (5)/(14) * (7)/(2)$

Finally, the solution is obtained as follows

$m = (35)/(28)$

We simplify fractions, both the numerator and denominator are divided equally by 7.

$\boxed{ \ m = (5)/(4) \ }$

In the form of mixed fractions, we get:

$\boxed{ \ m = 1 (1)/(4) \ }$

In decimal form, we get

$m = 1 (25)/(100) \rightarrow \boxed{ \ m = 1.25 \ }$

Wanna check the solution into the equation?

$\big( (2)/(7) * (5)/(4) \big) - (1)/(7) = (3)/(14)$

$(10)/(28) - (1)/(7) = (3)/(14)$

$(5)/(14) - (2)/(14) = (3)/(14)$

$(3)/(14) = (3)/(14)$

Both sides show the same value, so the solution is correct.

These are quick steps in summary:

$(2)/(7)m - (1)/(7) = (3)/(14)$

$(2)/(7)m = (3)/(14) + (1)/(7)$

$(2)/(7)m = (3)/(14) + (2)/(14)$

$(2)/(7)m = (5)/(14)$

$m = (5)/(14) * (7)/(2)$

$m = (35)/(28)$

$\rightarrow \boxed{ \ m = (5)/(4) \ }$

$\rightarrow \boxed{ \ m = 1 (1)/(4) \ }$

$\rightarrow \boxed{ \ m = 1.25 \ }$

Note:

The important thing to do is how to manipulate both sides of the equation with the algebraic properties of equality such as:

adding,
subtracting,
multiplying, and/or
dividing both sides of the equation with the same number.

In the form of fractions, the steps that must be considered are

equate the denominator,
simplify fractions, and
for the final answer, convert fractions to mixed fractions or decimal forms

All these processes can occur repeatedly until the isolated variables are obtained on one side of the equation.

Let's practice a lot until you get used to and know which operations should be done first.

Learn more

A word problem that forms a single variable linear equation brainly.com/question/1566971
Learn more about single variable linear equation that has no solution, has one solution, and has infinitely many solutions brainly.com/question/2595790
Questioning the stages of solving a word problem about one variable linear equations brainly.com/question/2038876

Answer details

Grade : Middle School

Subject : Mathematics

Chapter : Linear Equation in One Variable

Keywords : solve, solution, variable, coefficient, 2/7m - 1/7 = 3/14, 5/4, 1 1/4, 1.125, algebraic properties of equality, one, linear equation, isolated, manipulate, operations, add, substract, multiply, divide, fraction, equate, denominator, numerator, both sides, decimal, brainly

Related Questions

Rewrite the rational expression as an equivalent rational expression so that all expressions have a common denominator. 3/5,9/10,7/15,7/21
Marylou buys a package of 50 jewels to decorate 4 different pair of jeans.She uses the same number of jewels on each pair of jeans.How many jewels will she use for each pair of jeans?
Estimate the difference. 10 1/9- 5 14/15
10,infinity Interval notation-Inequality notation-
Solve the expression -2.2 x (-2) / (-1/4) x 5

What is 85 percent of a 28 year prison sentence?

Answers

Answer:

23.8 years

Step-by-step explanation:

85% can be written as 0.85

0.85 * 28 = 23.8 years

all the students in Miss Osbourne's class like pizza. Jeff is a student who likes Pizza. Therefore, Jeff is a student in Miss Osbourne's class. True, Falls, uncertain?

Answers

False. That set of statements forms a syllogism
with an undistributed middle.

It's nice that all the students in Miss Osbourne's class like pizza.
You can be sure that if you meet a student from Miss Osbourne's
class, you've met a student who likes pizza.

But they are not an exclusive club. They are not the only students
in the world who like pizza. There are other people in the world who
also like pizza. When you meet a student who likes pizza, he may be
one of those others. He may never have even heard of Miss Osbourne.

Answer = false. This is like saying,

Everyone in Ireland likes food, bob likes food, therefore bob is in Ireland.

What is one-third of 2,700?

Answers

2700* 1/3 = 2700 ÷ 3 = 900

help this helps!

Final answer:

To get one-third of a number, you divide that number by 3. When we divide 2,700 by 3, the result is 900. Therefore, one-third of 2,700 is 900.

Explanation:

To find a fraction of a whole number, we multiply the numerator of the fraction by the provided number and then divide the product by the denominator of the fraction.

To find one-third of a number, you can divide that number by 3.

In this case, to find one-third of 2,700, you simply divide 2,700 by 3.

The result when you divide 2,700 by 3 is 900

Therefore, one-third of 2,700 is 900.

Learn more about Division here:

brainly.com/question/33969335

#SPJ2

What is the result of subtracting the second equation from the first? -2x+y = 0
-7x+3y = 2

Answers

Answer:

-5x + 2y=2

Step-by-step explanation:

$- 7x + 3y = 2 \n - 2x + y = 0 \n subtracting \: this.we \: have \n ( - 7x \: + 3y - 2) - ( - 2x + y) \n - 7x + 2x + 3y - y - 2 \n - 5x + 2y - 2 \n therefore \: we \: have \n - 5x + 2y = 2$

Which ratio is greater than 11/16
22:32
3:8
1:2
3:4

Answers

Answer: 3/4

Step-by-step explanation: 22:32 = 0.68, 3:8 = 0.375, 1:2 = 0.5, 3:4 = 0.75

0.75 is the greatest one. So the answer is 3/4.

An athlete eats 75g of protein per day while training. How much protein will she eat during 23 days of training? Write your answer in kilograms.

Answers

K ⇒ Kilograms
H
D
B ⇒ grams
D
C
M
75 ×23= 1725
distance between Kilo. and grams is 3 jumps
so you jump the decimal 3 jumps to the left
Answer: 1.725 Kilograms of protein

You multiply 75 by 23 to get 1725 and since a kilogram has 1000 grams in it, the athlete eats 1.725 kg of protein.

Other Questions

Help ASAP Science/ Math..... Bill and Amy want to ride their bikes from their neighborhood to school which is 14,400 meters away. It takes Amy 2400 seconds to arrive at school. Bill arrives 1200 seconds after Amy. How much faster (in meters/ seconds) is Amy's average speed for the trip?

If the base and height of a triangle are measured in inches, what will the units of the perimeter be? centimeters square inches inches

Which of the following is always true?1. All trapezoids are similar.II. All parallelograms are similar.III. All kites are similar.IV. All regular quadrilaterals are similar.O l onlyIV onlykI and III onlyO II and IV onlyPlease help quick

What is f + 3pie = 7pie ?