Question

2 9/14*х-1 17/21*х=1 1/9

Answer 1

Ответ:

$2 \frac{9}{14} \times x - 1 \frac{17}{21} \times x = 1 \frac{1}{9} \\ \frac{37}{14} \times x - \frac{38}{21} \times x = \frac{10}{9} \\ \frac{5}{6} \times x = \frac{10}{9} \\ x = \frac{10}{9} \div \frac{5}{6} \\ x = \frac{10}{9} \times \frac{6}{5} \\ x = \frac{4}{3} \\ x = 1 \frac{1}{3}$

Answer 2

To solve the equation 2 9/14 * x - 1 17/21 * x = 1 1/9, we can start by simplifying the fractions:

2 9/14 can be written as an improper fraction: (2 * 14 + 9)/14 = 37/14 1 17/21 can be written as an improper fraction: (1 * 21 + 17)/21 = 38/21 1 1/9 can be written as an improper fraction: (1 * 9 + 1)/9 = 10/9

Now, let's substitute these values back into the equation:

(37/14) * x - (38/21) * x = 10/9

To get rid of the denominators, we can multiply both sides of the equation by the least common multiple (LCM) of 14, 21, and 9, which is 126:

126 * ((37/14) * x) - 126 * ((38/21) * x) = 126 * (10/9)

Canceling out the denominators, we have:

9 * 37 * x - 14 * 38 * x = 14 * 10

333x - 532x = 140

Combining like terms:

-199x = 140

To solve for x, divide both sides by -199:

x = 140 / -199

Simplifying the fraction, we have:

x ≈ -0.7035

Therefore, the solution to the equation 2 9/14 * x - 1 17/21 * x = 1 1/9 is approximately x = -0.7035.