Question

3 1/9(1 5/8 x - 0,3)=1,5-5/6(7-x)

Answer 1

Ответ:

В решении.

Пошаговое объяснение:

3 1/9(1 5/8 x - 0,3)=1,5-5/6(7-x)

28/9(13х/8 - 0,3) = 1,5 - 5/6(7 - х)

364х/72 - 14/15 = 1,5 - 35/6 + 5х/6

Умножить все части уравнения на 1080, чтобы избавиться от дроби:

15*364х - 72*14 = 1080*1,5 - 180*35 + 180*5х

5460х - 1008 = 1620 - 6300 + 900х

5460х - 900х = -4680 + 1008

4560х = -3672

х = -3672/4560 (сократить на 24)

х = -153/190.

Answer 2

To solve the given equation, let's follow these steps:

1. Distribute and simplify on both sides.
2. Solve for $x$.

Let's start by distributing and simplifying the equation step by step:

Equation: $3 \frac{1}{9} \left(1 \frac{5}{8}x - 0.3\right) = 1.5 - \frac{5}{6}(7 - x)$

Step 1: Distribute on the left-hand side: $3 \frac{1}{9} \cdot 1 \frac{5}{8}x - 3 \frac{1}{9} \cdot 0.3 = 1.5 - \frac{5}{6}(7 - x)$

Step 2: Convert mixed numbers to improper fractions and perform the calculations: $\frac{28}{9}x - \frac{1}{3} = 1.5 - \frac{35}{6} + \frac{5}{6}x$

Step 3: Combine the constants and rearrange terms: $\frac{28}{9}x - \frac{1}{3} = -\frac{13}{3} + \frac{5}{6}x$

Step 4: Get rid of fractions by multiplying by the least common denominator, which is 18: $18 \left(\frac{28}{9}x - \frac{1}{3}\right) = 18 \left(-\frac{13}{3} + \frac{5}{6}x\right)$

Step 5: Distribute and simplify on both sides: $56x - 6 = -26 + 15x$

Step 6: Move all terms involving $x$ to one side and constants to the other: $56x - 15x = -26 + 6$

Step 7: Combine $x$ terms and constants: $41x = -20$

Step 8: Solve for $x$: $x = \frac{-20}{41}$