Question

33(3 2/3x-1 2/11x)=19

Answer 1

Ответ:

х = 19/82

Пошаговое объяснение:

33(3 2/3x-1 2/11x)=19

33(11/3х-13/11х) = 19

121х-39х = 19

82х = 19

х = 19/82

Answer 2

To solve the equation, we need to find the value of 'x'. Let's start by simplifying the left side of the equation step by step:

1. First, let's deal with the mixed numbers (numbers with both whole parts and fractions): 3 2/3x = 3 + 2/3x 1 2/11x = 1 + 2/11x

2. Now, distribute the 33 to both terms inside the parentheses: 33(3 + 2/3x - 1 - 2/11x) = 19

3. Simplify the expression inside the parentheses: 33(2/3x - 2/11x + 2) = 19

4. Find the least common multiple (LCM) of the denominators of the fractions (3 and 11) to eliminate the fractions: LCM(3, 11) = 33

5. Rewrite the expression with a common denominator of 33: 33(22x/33 - 6x/33 + 2) = 19

6. Combine like terms within the parentheses: 33(16x/33 + 2) = 19

7. Distribute the 33 to both terms inside the parentheses: 16x + 66 = 19

8. Move the constant term (66) to the right side by subtracting it from both sides of the equation: 16x = 19 - 66 16x = -47

9. Finally, isolate 'x' by dividing both sides by 16: x = -47/16

So the value of 'x' that satisfies the equation is:

x = -47/16