
4/22х-8/11=6/33-3/11


Ответы на вопрос

Ответ:
Пошаговое объяснение:



Відповідь:
x = 7/2
Покрокове пояснення:
4/22x - 8/11 = 6/33 - 3/11 домножимо на 22x => 4 - 16x = 4x - 6x => 14x = 4 = > x = 14/4 = 7/2



To solve the equation (4/22)x - 8/11 = 6/33 - 3/11, you can start by simplifying the fractions and then isolating the variable x. Here are the steps to solve it:
Step 1: Simplify the fractions on both sides of the equation:
- 4/22 simplifies to 2/11, because you can divide both the numerator and the denominator by 2.
- 6/33 simplifies to 2/11, because you can divide both the numerator and the denominator by 3.
After simplifying the fractions, your equation becomes:
(2/11)x - 8/11 = 2/11 - 3/11
Step 2: Combine like terms on the right side of the equation:
(2/11)x - 8/11 = (2/11 - 3/11)
Step 3: Simplify the right side of the equation:
(2/11)x - 8/11 = (-1/11)
Step 4: Add 8/11 to both sides of the equation to isolate the variable x:
(2/11)x - 8/11 + 8/11 = (-1/11) + 8/11
Simplify:
(2/11)x = 7/11
Step 5: To solve for x, multiply both sides of the equation by the reciprocal of (2/11), which is (11/2):
[(2/11)x] * (11/2) = (7/11) * (11/2)
Simplify:
x = (7/2)
So, the solution to the equation is:
x = 7/2


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