Question

-1/3x -1/4x + 1/5x = 1 8/15 x=? 2 5/6x - 3 3/4x -1 5/12x = -1 5/9 x=?

Answer 1

Ответ:1)- 72/23
2)2/3

Answer 2

Let's solve each equation step by step:

1. -1/3x - 1/4x + 1/5x = 1

First, find a common denominator for the fractions, which is 60. Then, rewrite each fraction with the common denominator:

• (20/60)x - (15/60)x + (12/60)x = 1

Now, add the fractions:

• (20/60 - 15/60 + 12/60)x = 1

Combine the numerators:

• (17/60)x = 1

Now, solve for x by multiplying both sides of the equation by the reciprocal of (17/60), which is (60/17):

• [(17/60)x] * (60/17) = 1 * (60/17)

The (17/60) terms cancel out on the left side:

• x = (60/17)

So, 8/15x = (8/15) * (60/17) = (480/255) = 96/51 = 64/34 = 32/17

2. 5/6x - 3 3/4x - 1 5/12x = -1

First, convert the mixed numbers into improper fractions:

• 5/6x - (15/4)x - (17/12)x = -1

Next, find a common denominator for the fractions, which is 12. Then, rewrite each fraction with the common denominator:

• (10/12)x - (45/12)x - (17/12)x = -1

Now, add the fractions:

• (10/12 - 45/12 - 17/12)x = -1

Combine the numerators:

• (-52/12)x = -1

Now, simplify:

• (-13/3)x = -1

To solve for x, multiply both sides of the equation by the reciprocal of (-13/3), which is (-3/13):

• [(-13/3)x] * (-3/13) = -1 * (-3/13)

The (-13/3) terms cancel out on the left side:

• x = 3/13

So, 5/9x = (5/9) * (3/13) = (15/117) = 5/39