Question

2×+1/15 - 3 1/15 =2 3/7

Answer 1

Ответ:

2x + 1/15 - 3 1/15 = 2 3/7 ;

2x + 1/15 - 46/15 = 17/7 ;

2x - 3 = 17/7 ;

2x = 17/7 + 3 ;

2x = 38/7 ;

x = 38/7 : 2 ;

x = 19/7 = 2 5/7.

Answer 2

To solve the equation 2x + 1/15 - 3 1/15 = 2 3/7, we can simplify the expression on the left side and then solve for x.

Let's start by simplifying the left side:

2x + 1/15 - 3 1/15

To combine the fractions, we need to find a common denominator, which in this case is 15:

2x + 1/15 - (3 + 1)/15

Now, we can add the numerators together:

2x + (1 - 4)/15

Simplifying further:

2x - 3/15

Since 3/15 can be simplified to 1/5:

2x - 1/5

Now we can rewrite the equation:

2x - 1/5 = 2 3/7

To get rid of the fraction, we can multiply both sides of the equation by 5:

5(2x - 1/5) = 5(2 3/7)

10x - 1 = 10 3/7

To add the whole numbers and fractions, we need a common denominator, which in this case is 7:

10x - 1 = (10 * 7 + 3)/7

10x - 1 = 73/7

Now, we can add 1 to both sides of the equation:

10x - 1 + 1 = 73/7 + 1

10x = 73/7 + 7/7

10x = 80/7

To isolate x, we divide both sides of the equation by 10:

(10x)/10 = (80/7)/10

x = 8/7

Therefore, the solution to the equation 2x + 1/15 - 3 1/15 = 2 3/7 is x = 8/7.