Question

(6/7x - 1/5) * 1/8 = 1/8

Answer 1

Ответ:

(6/7x - 1/5) * 1/8 = 1/8

6/7x - 1/5 = 1/8 : 1/8

6/7х - 1/5 = 1

6/7х = 1 + 1/5

6/7х = 6/5

х = 6/5 ÷ 6/7

х = 7/5

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(6/7 * 7/5 - 1/5) * 1/8 = 1/8

1/8 = 1/8

Answer 2

To solve the equation:

(6/7x - 1/5) * 1/8 = 1/8

Let's simplify it step by step:

First, let's simplify the left side of the equation:

(6/7x - 1/5) * 1/8

To find the common denominator, multiply 7x by 5, and multiply 1 by 7x:

(30/35x - 7x/35) * 1/8

Combine the numerators:

(30 - 7x) / (35x) * 1/8

Now, let's multiply the fractions:

(30 - 7x) / (35x) * 1/8 = (30 - 7x) / (35x * 8)

The right side of the equation is already in the simplified form:

1/8

Now, let's set the left side equal to the right side and solve for x:

(30 - 7x) / (35x * 8) = 1/8

To eliminate the fractions, we can cross-multiply:

(30 - 7x) * 8 = 35x * 1

240 - 56x = 35x

Add 56x to both sides:

240 = 91x

Divide both sides by 91:

240/91 = x

Approximately:

x ≈ 2.6374

So, the solution to the equation is x ≈ 2.6374.