Question

(x-66/7)+113/21=89/14

Answer 1

Ответ:

$x=\frac{437}{42}$   можно ещё записать ответ как $x=10\frac{17}{42}$

Объяснение:

(x-66/7)+113/21=89/14

$(x-\frac{66}{7})+\frac{113}{21} -\frac{89}{14} = 0$

$(x-\frac{66}{7})+(-\frac{41}{42}) = 0$

$x-\frac{66}{7} = \frac{41}{42}$

$x=\frac{66}{7} +\frac{41}{42} \\\\x=\frac{437}{42}$

Answer 2

To solve the equation $\frac{x-66}{7} + \frac{113}{21} = \frac{89}{14}$, you can follow these steps:

1. First, simplify the fractions on both sides of the equation.

$\frac{x-66}{7} + \frac{113}{21} = \frac{89}{14}$

To make the denominators the same, find a common denominator for 7, 21, and 14, which is 42. Rewrite the fractions with this common denominator.

$\frac{3(x-66)}{42} + \frac{2(113)}{42} = \frac{3(89)}{42}$

2. Now, you can add the fractions on the left side of the equation.

$\frac{3(x-66) + 2(113)}{42} = \frac{3(89)}{42}$

3. Simplify both sides of the equation further.

$3(x-66) + 2(113) = 3(89)$

4. Distribute and simplify on the left side of the equation.

$3x - 198 + 226 = 267$

5. Combine like terms on the left side.

$3x + 28 = 267$

6. Now, isolate the variable $x$ by subtracting 28 from both sides of the equation.

$3x = 267 - 28$

$3x = 239$

7. Finally, divide both sides by 3 to solve for $x$.

$x = \frac{239}{3}$

So, the solution to the equation is $x = \frac{239}{3}$ or approximately $x \approx 79.67$.