Question

(2/5+х)-2/3=4/5 х/90-2/13=8/45 (х-3/14)+2/7=5/6

Answer 1

1)2/5+x-2/3=4/5
6-10/15+x=4/5
-4/15+x=4/5
x=4/5+4/15
x=12+4/15
x=16/15
x=1 1/15
2)1170•x/90-1170•2/13=1170•8/45
13x-90•2=26•8
13x-180=208
13x=108+180
13x=388
x=388/13
x=29 11/13

Answer 2

To solve the given equations, let's take them one by one:

1. (2/5 + x) - 2/3 = 4/5

First, get rid of the fractions by finding a common denominator, which is 15.

Multiply the entire equation by 15: 15 * [(2/5 + x) - 2/3] = 15 * (4/5)

Simplify the equation: 3(2 + 5x) - 10 = 12

Now, solve for x: 6 + 15x - 10 = 12 15x - 4 = 12 15x = 12 + 4 15x = 16 x = 16/15

2. х/90 - 2/13 = 8/45

To eliminate the fractions, find the least common multiple (LCM) of 90, 13, and 45, which is 1170.

Multiply the entire equation by 1170: 1170 * [х/90 - 2/13] = 1170 * (8/45)

Simplify the equation: 13x - 180 = 104

Now, solve for x: 13x = 104 + 180 13x = 284 x = 284/13

3. (х - 3/14) + 2/7 = 5/6

Get a common denominator of 42 for the fractions.

Multiply the entire equation by 42: 42 * [(х - 3/14) + 2/7] = 42 * (5/6)

Simplify the equation: 6x - 9 + 12 = 35

Now, solve for x: 6x + 3 = 35 6x = 35 - 3 6x = 32 x = 32/6 x = 16/3

So, the solutions for the given equations are:

1. x = 16/15
2. x = 284/13
3. x = 16/3