Question

Уравнение: b-5/7b=2/3

Answer 1

2/7b=2/3

6/21b=14/21

b=14/21 / 6/21b

b=8/21b

Answer 2

To solve the equation b - (5/7)b = 2/3, follow these steps:

Step 1: Combine like terms on the left-hand side (LHS) of the equation. Step 2: Isolate the variable 'b' on one side of the equation. Step 3: Solve for 'b'.

Let's go through each step:

Step 1: Combine like terms on the left-hand side (LHS) of the equation:

b - (5/7)b = 2/3

To combine like terms, we need to find a common denominator for 'b' and '(5/7)b', which is 7. So, we can rewrite the equation as:

(7/7)b - (5/7)b = 2/3

Step 2: Isolate the variable 'b' on one side of the equation:

Now, subtract (5/7)b from (7/7)b:

(7/7 - 5/7)b = 2/3

(2/7)b = 2/3

Step 3: Solve for 'b':

To solve for 'b', divide both sides of the equation by (2/7):

b = (2/3) / (2/7)

To divide fractions, multiply the first fraction by the reciprocal of the second fraction:

b = (2/3) * (7/2)

b = (2 * 7) / (3 * 2)

b = 14 / 6

Now, we can simplify the fraction:

b = 7/3

So, the solution to the equation is b = 7/3.